Chapter 10.1, Problem 2STP

For Exercises 1-6, choose the correct letter.

What is the length of the missing side?

F. 16mm

G. 28 mm

H. 42 mm

I. 69.5 mm

To determine

To choose the correct answer.

Answer to Problem 2STP

G) $28mm$

Explanation of Solution

Given information:

What is the length of the missing side?

F) $16mm$

G) $28mm$

H) $42mm$

I) $69.5mm$

The length of the missing side is:

$\begin{array}{l}{\left(hypotenuse\right)}^2={\left(base\right)}^2+{\left(height\right)}^2\\ {53}^2={45}^2+{\left(height\right)}^2\\ {\left(height\right)}^2={53}^2-{45}^2\\ height=\sqrt{2809-2025}\\ height=\sqrt{784}\\ height=28\end{array}$

Hence, the length of the missing side is $28mm$ .