This document provides information about Pythagoras' theorem and its converse. It begins by defining Pythagoras' theorem as "In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides". It then gives an example of applying Pythagoras' theorem to find the distance of the foot of a ladder from the bottom of a wall. Next, it defines the converse of Pythagoras' theorem as "If a triangle, the square on the greatest side is equal to sum of square on the other two sides, then the triangle is right angled triangle". Finally, it provides some practice problems for students to work through.

1. PYTHAGORAS THEOREM AND
CONVERSE OF PYTHAGORAS
THEOREM

2. ● NAME THE TYPES OF
ANGLES.
● AN ANGLES WHICH IS
GREATER THAN 90⁰IS
KNOWN AS?
● AN ANGLES WHICH
MEASURES 90⁰IS ?.
2
LOOK AT THE VIDEO AND
FIND.

3. “In a right-angled triangle, the square of the hypotenuse side is
equal to the sum of squares of the other two sides“.
PYTHAGORAS THEOREM
3

4. LOOK AT THE VIDEO!
HERE, WE OBSERVE THAT”the
square of the hypotenuse is
equal to the sum of the
squares of the other two
sides'.
The hypotenuse is the
longest side and it's always
opposite the right angle”
4

5. Now see this
example
.
5

6. Application of
Pythagoras theorem
6

7. A ladder 13 m long is placed
on the ground in such a way
that it touches the top of a
vertical wall 12 m high. Find
the distance of the foot of
the ladder from the bottom
of the wall.
Problem:
solution
According to Pythagorean
Theorem,
x2 + 122 = 132
⇒ x2 = 132 – 122
⇒ x2 = (25) (1)
⇒ x2 = 25
⇒ x = 5.
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8. Converse of pythagoras
theorem
If a triangle, the square on the
greatest side is equal to sum of
square on the other two sides, then
the triangle is right angled triangle.
Statement
8

9. Converse of pythagoras
theorem
9

10. EXAMPLE
10
https://youtu.be/vYRlFG-JwG4

11. Recap.
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https://quizizz.com/admin/quiz/5804c7ee2c
a03a9a4f13c9f4/pythagoras-theorem

12. FIND THE ANSWER ……….
12

13. Recap
1.Name the longest side of the right
angled triangle
2.Does 8,15,16 have a right angle?
3.State the Pythagoras theorem
4.State the converse of Pythagoras
theorem
5.Which is the longest side of right
angle?
13

14. Assignment
14

15. https://sweetly25.blog
spot.com/2022/11/assi
gnment-pythagoras-
theorem.html
15

16. 1.A 20-feet ladder leans against a wall at height of
16 feet from the ground. How far is the base of the
ladder from the wall?
2. Say True or False
In a right angled triangle, the hypotenuse is the
greatest side.
3. An isosceles triangle has equal sides each 13 cm
and a base 24 cm in length. Find its height
4.Calculate the hypotenuse of the triangle with sides
of 3cm and 4 cm.
5..If the hypotenuse of a triangle measures 2 cm and
one of its sides measures 1cm, what does the other
side measure?
6.Find the measure of the hypotenuse of a right
angled triangle whose sides measure and .
7.Find the height of the following triangle whose
sides are and , and whose base is 3. 16
ASSIGNMENT

17. Thank you!
17