Question

What is the value of x to the nearest tenth?

Answer 1

ANSWER

9.7 units

EXPLANATION

According to the Pythagoras Theorem, the square of the hypotenuse is equal to the sum of the squares of the two shorter legs

${x}^{2} + {7}^{2} = {12}^{2}$

This implies that,

${x}^{2} + 49= 144$

Group similar terms,

${x}^{2} = 144 - 49$

${x}^{2} = 95$

$x = \sqrt{95}$

$x = 9.7 \: units$

to the nearest tenth.