The document provides a comprehensive overview of the Pythagorean theorem, including its definition, historical background, and mathematical application. It emphasizes the relationship between the sides of a right-angled triangle, where the formula c² = a² + b² holds true. Additionally, it clarifies that the theorem is applicable only to right-angled triangles and is useful for mathematical problem-solving.

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WHAT IS PYTHAGORAS
THEOREM :A BRIEF
KNOWLEDGE ABOUT
PYTHAGORAS
THEOREM

2. What Is Pythagoras theorem?Pythagoras theory is a fundamental
subject in arithmetic, which clarifies the connection between the
different sides of a corner-based triangle. It is at times can be call the
Pythagorean way of thinking. The recipe and evidence of this
hypothesis are clarified here. This hypothesis is primarily utilized for
the right-point triangle, through which we can draw an essential
formula, an opposite equation, and a portrayal. How about we become
familiar with this hypothesis in detail here.
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3. A BRIEF HISTORY
The hypothesis is regularly ascribed to the Greek mathematician
Pythagoras (c. 570–495 BC) regardless of whether there is no proof that
he was the first to demonstrate the hypothesis. Pythagorean hypothesis,
likewise known by Babylonian and Chinese mathematicians before
Pythagoras. It isn’t known whether the theory was found once or a few
times in better places. The historical backdrop of the hypothesis is
likewise connected to the disclosure of the Pythagoras set of three, which
comprises of three emphatically right numbers, for example, The
Babylonians found the Pythagorean sets of three, from 2000 to 1786 BC,
in spite of the fact that they didn’t make reference to any triangles.
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4. WHAT IS A RIGHT ANGLED TRIANGLE?
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If a triangle has one 90° angle then it is a right angled triangle. The corner
has little square tells us it is a right angled triangle(I also put 90°, but you
don’t need to!)
Pythagoras Theorem Statement
Pythagorean theorem communicates that “in the caught triangle, the
planning side square equivalents the complete squares of different
gatherings.” the sides of these triangles are called vertically, basely, and
ligamental. Here, the agreement is the most drawn outside, since it mirrors
the edge of 90 degrees.

5. PYTHAGORAS THEOREM FORMULA
Let a given triangle above:
Where “a” is the perpendicular side,“b” is the base,“c” is the
hypotenuse side.According to the definition, the Pythagoras
Theorem formula is given as:
Hypotenuse2 = Perpendicular2 + Base2 c2 = a2 + b2.
The side opposite to the right angle (90°) is the longest side
(known as Hypotenuse) because the side opposite to the greatest
angle is the longest.
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6. PYTHAGORAS THEOREM PROOF
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Given:
A right-angled triangle ABC.
To Prove- AC2 = AB2 + BC2Proof:
First, we have to drop a perpendicular BD onto
the side ACWe know, △ADB ~
△ABCTherefore, ADAB=ABAC (Condition for
similarity)Or, AB2 = AD × AC ……………………………..……..
(1)Also, △BDC
~△ABCTherefore, CDBC=BCAC (Condition for
similarity)Or, BC2= CD × AC ……………………………………..
(2)

7. FREQUENTLY ASKED QUESTIONS
ON PYTHAGORAS THEOREM
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What is the formula for Pythagorean Theorem?The formula for
Pythagoras, for a right-angled triangle, is given by; c2=a2+b2
What is the formula for hypotenuse?The hypotenuse is the longest side
of the right-angled triangle, opposite to right angle, which is adjacent to
base and perpendicular. Let base, perpendicular and hypotenuse are a, b
and c respectively. Then the hypotenuse formula, from the Pythagoras
statement, will be;
c = √(a2 + b2)

8. TYPES OF INVESTORS
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No, this theorem is applicable only for the right-angled triangle.
Conclusion:
In this article, you will get a brief knowledge of What is Pythagoras
theorem. And which triangle is suitable to apply this theorem. The given
history of Pythagoras’ theorem, statement of the theory and the formula
are beneficial for the students in math homework help.

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