The document summarizes the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It provides the background of Pythagoras and how he developed this important theorem around 570 BC. Examples are given to demonstrate how to use the theorem to calculate unknown side lengths of right triangles.
International Journal of Engineering Research and Development (IJERD)IJERD Editor
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today we reviewed the Pythagorean Theorem and there was one sheet handed out to the B and D class and two handed out to the C class.
B and D make sure both sides are done, C make sure the front of each is done.
One of the best known mathematical formulas is Pythagorean Theorem,Over 2000 years ago there was an amazing discovery about triangles:
When a triangle has a right angle (90°) and squares are made on each of the three sides,then the biggest square has the exact same area as the other two squares put together! Maths is Fun
International Journal of Engineering Research and Development (IJERD)IJERD Editor
journal publishing, how to publish research paper, Call For research paper, international journal, publishing a paper, IJERD, journal of science and technology, how to get a research paper published, publishing a paper, publishing of journal, publishing of research paper, reserach and review articles, IJERD Journal, How to publish your research paper, publish research paper, open access engineering journal, Engineering journal, Mathemetics journal, Physics journal, Chemistry journal, Computer Engineering, Computer Science journal, how to submit your paper, peer reviw journal, indexed journal, reserach and review articles, engineering journal, www.ijerd.com, research journals,
yahoo journals, bing journals, International Journal of Engineering Research and Development, google journals, hard copy of journal
today we reviewed the Pythagorean Theorem and there was one sheet handed out to the B and D class and two handed out to the C class.
B and D make sure both sides are done, C make sure the front of each is done.
One of the best known mathematical formulas is Pythagorean Theorem,Over 2000 years ago there was an amazing discovery about triangles:
When a triangle has a right angle (90°) and squares are made on each of the three sides,then the biggest square has the exact same area as the other two squares put together! Maths is Fun
These slides contain the pathagorean theorem and right trinagles. How to prove the oathagorean theorem and how to vind the area of triangles by the pathagorean theorem. There are some slides that explains that how the pathagorean theorem was discovrers. Some slides explain the pathagorean triple theorem and c^2=a^2 + b^2.
cube cuboid and cylinder is found .here you can learn surface area and volume of these 3 dimensional figures.it also includes basic information on the basic properties of these figures
UiPath Test Automation using UiPath Test Suite series, part 3DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 3. In this session, we will cover desktop automation along with UI automation.
Topics covered:
UI automation Introduction,
UI automation Sample
Desktop automation flow
Pradeep Chinnala, Senior Consultant Automation Developer @WonderBotz and UiPath MVP
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
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Today, after several years of existence, an extremely active community and an ultra-dynamic ecosystem, Kubernetes has established itself as the de facto standard in container orchestration. Thanks to a wide range of managed services, it has never been so easy to set up a ready-to-use Kubernetes cluster.
However, this ease of use means that the subject of security in Kubernetes is often left for later, or even neglected. This exposes companies to significant risks.
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State of ICS and IoT Cyber Threat Landscape Report 2024 previewPrayukth K V
The IoT and OT threat landscape report has been prepared by the Threat Research Team at Sectrio using data from Sectrio, cyber threat intelligence farming facilities spread across over 85 cities around the world. In addition, Sectrio also runs AI-based advanced threat and payload engagement facilities that serve as sinks to attract and engage sophisticated threat actors, and newer malware including new variants and latent threats that are at an earlier stage of development.
The latest edition of the OT/ICS and IoT security Threat Landscape Report 2024 also covers:
State of global ICS asset and network exposure
Sectoral targets and attacks as well as the cost of ransom
Global APT activity, AI usage, actor and tactic profiles, and implications
Rise in volumes of AI-powered cyberattacks
Major cyber events in 2024
Malware and malicious payload trends
Cyberattack types and targets
Vulnerability exploit attempts on CVEs
Attacks on counties – USA
Expansion of bot farms – how, where, and why
In-depth analysis of the cyber threat landscape across North America, South America, Europe, APAC, and the Middle East
Why are attacks on smart factories rising?
Cyber risk predictions
Axis of attacks – Europe
Systemic attacks in the Middle East
Download the full report from here:
https://sectrio.com/resources/ot-threat-landscape-reports/sectrio-releases-ot-ics-and-iot-security-threat-landscape-report-2024/
Epistemic Interaction - tuning interfaces to provide information for AI supportAlan Dix
Paper presented at SYNERGY workshop at AVI 2024, Genoa, Italy. 3rd June 2024
https://alandix.com/academic/papers/synergy2024-epistemic/
As machine learning integrates deeper into human-computer interactions, the concept of epistemic interaction emerges, aiming to refine these interactions to enhance system adaptability. This approach encourages minor, intentional adjustments in user behaviour to enrich the data available for system learning. This paper introduces epistemic interaction within the context of human-system communication, illustrating how deliberate interaction design can improve system understanding and adaptation. Through concrete examples, we demonstrate the potential of epistemic interaction to significantly advance human-computer interaction by leveraging intuitive human communication strategies to inform system design and functionality, offering a novel pathway for enriching user-system engagements.
UiPath Test Automation using UiPath Test Suite series, part 4DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 4. In this session, we will cover Test Manager overview along with SAP heatmap.
The UiPath Test Manager overview with SAP heatmap webinar offers a concise yet comprehensive exploration of the role of a Test Manager within SAP environments, coupled with the utilization of heatmaps for effective testing strategies.
Participants will gain insights into the responsibilities, challenges, and best practices associated with test management in SAP projects. Additionally, the webinar delves into the significance of heatmaps as a visual aid for identifying testing priorities, areas of risk, and resource allocation within SAP landscapes. Through this session, attendees can expect to enhance their understanding of test management principles while learning practical approaches to optimize testing processes in SAP environments using heatmap visualization techniques
What will you get from this session?
1. Insights into SAP testing best practices
2. Heatmap utilization for testing
3. Optimization of testing processes
4. Demo
Topics covered:
Execution from the test manager
Orchestrator execution result
Defect reporting
SAP heatmap example with demo
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf91mobiles
91mobiles recently conducted a Smart TV Buyer Insights Survey in which we asked over 3,000 respondents about the TV they own, aspects they look at on a new TV, and their TV buying preferences.
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024Tobias Schneck
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Essentials of Automations: Optimizing FME Workflows with ParametersSafe Software
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We’ll wrap up with a glimpse into future webinars, followed by a Q&A session to address your specific questions surrounding this topic.
Don’t miss this opportunity to elevate your FME expertise and drive your projects to new heights of efficiency.
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2. • Pythagoras was born around 570 BC on the island of Samos
in ancient Greece.
• That is about 2,570 years ago!
3. Pythagoras
• He founded a school in southern Italy after
traveling in Egypt and the Middle East. He
was a philosopher, musician, and
astronomer, but he is most remembered
as a mathematician.
4. • The Egyptians knew that a triangle with sides 3, 4, and 5
make a 90o angle. As a matter of fact, they had a rope
with 12 evenly spaced knots like this one:
•
• that they used to cut stones and build perfect corners in
their buildings and pyramids. It is believed that they only
knew about the 3, 4, 5 triangle and not the general
theorem that applies to all right triangles.
5. • In any right triangle, the area of the square
whose side is the hypotenuse (the side of
the triangle opposite the right angle) is
equal to the sum of the areas of the
squares of the other two sides.
6. • The Pythagorean Theorem is one of the
most important theorems in the whole
realm of geometry.
• When the two shorter sides in a right
triangle are squared and then added, the
sum equals the square of the longest side
or hypotenuse.
7. The Pythagorean Theorem
Where c is the length of the hypotenuse and
a and b are the lengths of the other two
sides, the theorem can be expressed as
the following equation:
• c2 – a2 = b2
• c2 – b2 = a2
8. • The Pythagorean Theorem
• If a triangle is a right triangle, then the sum
of the squares of the lengths of the legs a
and b equals the square of the length of
the hypotenuse c.
c
• a2 + b2 = c2 a
b
9. • Also true is:
c 2 - b 2 = a2
• This would be used to find one of the legs
if you know the length of the hypotenuse
and the other leg.
10. EXAMPLE 1 Use the Pythagorean theorem
Find the unknown length for the triangle shown.
SOLUTION
a 2+ b 2 = c 2 Pythagorean theorem
2
a 2 + 6 = 72 Substitute 6 for b and 7 for c.
a 2 + 36 = 49 Simplify.
a 2 = 13 Subtract 36 from each side.
a = 13 Take positive square root of each side.
ANSWER The side length a is = 13
11. GUIDED PRACTICE for Example 1
1. The lengths of the legs of a right triangle are a = 5
and b = 12. Find c.
ANSWER c = 13
12. • a2 + b2 = c2 a & b = legs, c = hypot
• a = 6, b = 8 c = ____
• a = 6 b = 6 c = _____
• a = 10 b = 24 c = _____
• a = 2 c = 7 b = _____
13. • Determine if the given lengths are sides of
a right triangle.
• 5, 11, 12
• 20, 29, 21
• 11.9, 12, 16.9
14. • Assignment: P. 740
• 1-15, 35
• Make sure you put formula / work on your
paper!
• Round to the nearest tenths.