Question

Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.

Answer 1

x = 6

y = 45 degrees

Explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6