Question

Trigonometry special right triangles. 30 60 90 triangle. answers need to be in radical form. Cant find x and y.

Answer 1

• x = √15
• y = √5

Explanation:

The side ratios of a 30°-60°-90° right triangle are ...

1 : √3 : 2 . . . . . . shortest to longest

In your triangle, they are ...

y : x : 2√5

Then y = (2√5)/2 = √5, half the longest side.

And x = y√3 = (√5)(√3) = √(5·3) = √15, sqrt(3) times the shortest side.

In summary, x = √15 and y = √5.