1. The Pythagorean Theorem

2. The Pythagorean Theorem
Pythagorean Theorem. In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.
Hypotenuse – side
Across from the right
angle
Example: a 2 + b 2 = c 2 A B C a b c
Legs – the sides of the right triangle (touch the right angle)

3. Work this problem a 2 + b 2 = c 2 5 2 + 12 2 = x 2 P 25 + 144 = x 2
169 = 𝑥 2 x
12 in
13 = x R Q
5 in

4. Work this problem a 2 + b 2 = c 2 3 2 + d 2 = 6 2 P 9 + d 2 = 36 -9 -9
d 2 = 27
6 cm d
d = √ 27 ≈ 5.2 R Q
3 cm