Question

What is the value of x to the nearest tenth?

Answer 1

9.7 units

Step-by-step 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 = √(95)`

`x = 9.7 \: units`

to the nearest tenth.