Question

And the unknown lights in the right triangle if necessary approach me to life to the nearest thousandth

Answer 1

The third side of the triangle is 22.361 km

Explanation:

Given information

The image given is a right-angled triangle

The perpendicular side = 10km

The adjacent side = 20km

To find the third side of the triangle, we will need to apply Pythagora's theorem

`\text{Hypotenuse}^2=opposite^2+adjacent^2`

Let the hypotenuse be x

`\begin{gathered} x^2=10^2+20^2 \\ x^2\text{ = 100+ 400} \\ x^2\text{ = 500} \\ \text{Take the sqyare roots of both sides} \\ x\text{ = }\sqrt[]{500} \\ x\text{ = 22.361 }km \end{gathered}`

Therefore, the third side of the triangle is 22.361 km