Question

If you know that the hypotenuse of a 30-60-90 triangle is 124 cm, explain how you find the lengths of the other two sides.​

Answer 1

Length of short side is 62 cm and length of long side is
`62√(3)` cm

Explanation:

There's specific "rule" for 30-60-90 triangle

short leg will be x

long leg will be
`x√(3)`

hypotenuse will be 2x

So, when you know hypotenuse is 124 (2x)

To find short leg, you divide 124 by 2

short leg will be 62 (x)

To find long leg, you plug in the x (in this case it's 62)

long leg will be
`62√(3)`