Question

Find the unknown side length, x. Write your answer in simplest radical form. A. 4 B. Square root of 65 C. 11 D. 5 square root 13

Answer 1

ANSWER


`x = √(65)`

EXPLANATION

From the Pythagoras Theorem,


`{h}^(2) + {3}^(2) = {5}^(2)`

This implies that,


`{h}^(2) + 9= 25`


`{h}^(2) = 25 - 16`


`{h}^(2)=16`


`h = √(16)`


`h = 4`

Now using the bigger right triangle,


`{x}^(2) = {7}^(2) + {4}^(2)`


`{x}^(2) = 49 + 16`


`{x}^(2) = 65`


`x = √(65)`

The correct answer is B