Question

Help this is for special right triangles 30-60-90

Answer 1

x = 10sqrt(3) = 17.3

y = 10

Explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

The short leg is half the hypotenuse.

hypotenuse = 20

short leg = y = 20/2 = 10

The long leg is sqrt(3) times the short leg.

long leg = x = 10sqrt(3) = 17.3

Answer 2

y = 10, x = 10sqrt3

Explanation:

30-60-90 right triangles follow the ratio of x:xsqrt3:2x

In this case, 2x = 20, so y = x = 10, and x = xsqrt3 = 10sqrt3

If you are curious as to how to find these ratios, I suggest noticing that the 30-60-90 triangle is really just half of an equilateral triangle.