Question

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

your answer.

Answer 1

Answer: B = 2 (Square root of 2) A = 4

Explanation: This is an isosceles triangle so the legs will be the same. To get the hypotenuse I simply just multiplied one leg by the square root of 2 and two square roots of the same number multiply the whole number by whatever number is in the square root (so in this case it's multiplying 2 by 2)

Answer 2

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

Explanation:

Since this is a 45-45-90 triangle we know that side b is equal to
`b=2√(2)`.

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

so the missing side lengths are,
`b=2√(2)` and
`a=4`