Question

Determine the missing length. Show your work!

Answer 1

15

Explanation:

`{9}^(2) + {12}^(2) = c ^(2) \\ 81 + 144 = {c}^(2) \\ 225 = {c}^(2) \\ √(225) = c \\ √(225) = 15`

Answer 2

15

Explanation:

Pythagorean theorem: the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

C = the square root of A squared + B squared.

plug in the numbers

C = the square root of 9 squared + 12 squared = 15