Question

3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support

Answer 1

Answer: b=2(square root of 2) and a=4

Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to $b=2\sqrt{2}$.

In a 45-45-90 triangle, the hypotenuse is equal to $x\sqrt{2}$ this means in order to find missing side length a, we have to multiply $(2\sqrt{2})(\sqrt{2})$ this will give us 4

so the missing side lengths are, $b=2\sqrt{2}$ and $a=4$