Question

Find the value of the variable.

Answer 1

Answer:

x = 50, y = 25

Step-by-step explanation:

This is a 30° 60° 90° triangle. In this triangle, the long leg of the triangle will be the short leg length multiplied by √3, so we can simply divide by √3 to find the short leg (y).

y = 25√3/√3 = 25

Therefore, y = 25.

Lastly, in this type of triangle, the hypotenuse is double the short leg length.

x = 2(25) = 50

Therefore, x = 50.

Answer 2

Answer:

x = 50

y = 25

Step-by-step explanation:

This triangle is a 30-60-90 triangle. (The image below explains what it is).

Since the side that is facing the 60* angle is 25 sqrt 3, then y has to be 3 since the side facing the 30* angle is "x" and the side facing the 60* is "x sqrt 3". To find x, the hypothenuse, we have to do 2*y which is 50.

Hope this helped! <3