1. Pythagorean Theorem

2. Right Triangles
• What are the parts of a right triangle?

3. e
us
t en
po
hy
leg
leg

4. Right Triangles
• What are the parts of a right triangle?

5. Square Activity
• Draw a right triangle with sides of 3 and 4 units
• Draw a square using each side as a base
• What is the area of the first square?
• What is the area of the second square?
3
4

6. • What is the area of the third square?
?
3
4

7. The Pythagorean theorem states
that in a right triangle, the sum of
the squares of the lengths of the
legs is equal to the square of the
length of the hypotenuse.

8. Pythagorean Theorem
a +b =c
2 2 2
• c is the length of the hypotenuse
• a and b are the lengths of the legs
a2 c
a
b
b2

9. Square Activity
• Draw a right triangle with sides of 4 and 4 units
• Draw a square using each side as a base
• What is the area of the first square?
• What is the area of the second square?
4
4

10. A = 4
B = 3
Find c
Hint: use
a2 + b 2 = c 2

11. Example:
Find the missing length.

12. a = 18, b = 24
a +b = c
2 2 2
18 + 24 = c
2 2 2
324 +576 = c 2
900 = c 2
900 = c 2
30 = c

14. Why is this important?