Question

Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle? Check all that apply.

a) Square root of 3 : 2
b) 1 : Square root 3
c) Square root of 2 : Square root 3
d) 2 : 2 square root of 2
e) 2 square root of 3 : 4
f) Square root of 3 : Square root of 3

Answer 1

The ratio between the lengths of the two legs in a 30-60-90 triangle can be the Square root of 3 : 2 or 2 : 2 square root of 2.

Step-by-step explanation:

A 30-60-90 triangle is a right triangle with angles measuring 30 degrees, 60 degrees, and 90 degrees. The ratio between the lengths of the two legs in a 30-60-90 triangle is always:

a) Square root of 3 : 2

d) 2 : 2 square root of 2

This means that the length of the longer leg is always square root of 3 times the length of the shorter leg, and the length of the hypotenuse is always 2 times the length of the shorter leg.