Question

Solve for x. Then find the side lengths of the triangle. If needed, round to the nearest tenth of a foot.

Answer 1

Answer:

The sides are:

$s_{1}=3x=3(6.0)=18 \:ft$

$s_{2}=6x=6(6.0)=36 \:ft$

Step-by-step explanation:

We have a right triangle, so we can use the Pythagoras theorem.

$40^{2}=(6x)^{2}+(3x)^{2}$

Let's solve it for x.

$40^{2}=36x^{2}+9x^{2}$

$1600=45x^{2}$

$x^{2}=35.56 \:ft^{2}$

$x=6.0 \:ft$

Therefore, the lengths will be:

First side: $s_{1}=3x=3(6.0)=18 \:ft$

Second side: $s_{2}=6x=6(6.0)=36 \:ft$

I hope it helps you!