Use the Pythagorean Theorem to find the missing lengths.

Question

A: 7,9
B: 12,15

Answer 1

For the Pythagorean Theorem, the formula is a^2 + b^2 = c^2, where c is the hypotenuse.

For triangle A:

a = 7 and b = 9

7^2 + 9^2 = c^2
49 + 81 = c^2
130 = c^2
c = √130

Therefore, the length of the hypotenuse, c, is approximately 11.40 for triangle A.

For triangle B:

a = 12 and b = 15

12^2 + 15^2 = c^2
144 + 225 = c^2
369 = c^2
c = √369

Therefore, the length of the hypotenuse, c, is 19 for triangle B.