Question

Find the missing side of a triangle with one side being 8. Simplify all radicals.

Answer 1

8√2

Step-by-step explanation

This square is formed by two right triangles. Those triangles are congruent, and the only missing side is the hypotenuse, which we can find using the Pythagorean Theorem,

In this problem, both legs have lengths of 8 units, so the hypotenuse is,

`c=\sqrt[]{8^2+8^2}=\sqrt[]{2\cdot8^2}=\sqrt[]{2}\cdot\sqrt[]{8^2}=8\sqrt[]{2}`

Hence, the missing side of these triangles - which is also the diagonal of the square, is 8√2 units long.