Question

Find the length of each leg. Leave answer in simplest radical form.

Question 28 options:

16√2


8


8√2


4√2

Answer 1

8√2

Explanation:

The hypotenuse of a right triangle is √2 times the leg length, so you have ...

`x√(2)=16`

Dividing by the coefficient of x gives ...

`x=(16)/(√(2))=(16√(2))/(√(2)\cdot√(2))=8√(2)`

Each leg has length 8√2.