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

$x = \sqrt{65}$

EXPLANATION

From the Pythagoras Theorem,

${h}^{2} + {3}^{2} = {5}^{2}$

This implies that,

${h}^{2} + 9= 25$

${h}^{2} = 25 - 16$

${h}^{2}=16$

$h = \sqrt{16}$

$h = 4$

Now using the bigger right triangle,

${x}^{2} = {7}^{2} + {4}^{2}$

${x}^{2} = 49 + 16$

${x}^{2} = 65$

$x = \sqrt{65}$

The correct answer is B