Question

(05.01 MC)

Find the value of y.
5
05
45
05√2
05-5
O 10
X

Answer 1

5√2

Explanation:

We know that this is a 45-45-90 triangle, since the sum of all the angles in a triangle must equal 180 and 180 - (45 + 90) = 45

Let's call the two legs of a 45-45-90 triangle x (we can call both x since the two legs are congruent in this type of triangle.

The length of the hypotenuse is equivalent to x *√2

Thus, since we're given that one of the legs is 5 units long, the hypotenuse (represented by y) must by 5√2 units long.