1. G3.2 Pythagorean Theorem Objectives:
• Identify parts of a right triangle
• Pythagorean Theorem
• Converse of Pythagorean Theorem

2. Concept: Parts of a Right Triangle
Legs: The two sides that make up the
right angle.
Hypotenuse: The side opposite the
hypotenuse
leg
right angle
leg

6. Ex#1: Find the length of the hypotenuse if a = 12 and b = 16.
a2 + b2 = c2
1. Plug in the values for
a, b, and c.
= c2
= c2
400 = c2
20 = c
2. Square all numbers
3. Simplify
4. Square root both sides

7. You Try!!! Find the length of the hypotenuse if a = 5 and b = 7.
= c2
= c2
74 = c2
√74 = c

8. Ex#2: Find the length of the leg, to the
Ex#2: Find the length of the leg, to the nearest hundredth, if a = 4 and c = 10.
a2 + b2 = c2
42 + b2 = 102
16 + b2 = 100
– –16
b2 = 84
b = 9.17
Substitute
Square
Move the constant
Square root

9. You Try!!! Find the length of the leg, to the nearest hundredth, if c = 10 and b = 7.
– –49
a2 = 51
a = √51

10. Homework
IXL:
Geo: Q1