Question

What is the measure of the missing side of the right triangle? Sad see is the hypotenuse. Sides a and b are the legs

Answer 1

Using the Pythagorean theorem, the formula is:

$a^2+b^2=c^2$

Where:

a = 7.1 km

c = 8.4 km

And we will find the side b.

Substitute the values:

$7.1^2+b^2=8.4^2$

And solve for b:

$\begin{gathered} 50.41+b^2=70.56 \\ \text{subtract 50.41 on both sides} \\ 50.41+b^2-50.41=70.56-50.41 \\ b^2=20.15 \\ b=\sqrt[]{20.15}=4.5 \end{gathered}$

Answer: b = 4.5 km