To find the length of the longer leg of a 30°–60°–90° triangle, multiply the length of the shorter leg by _______.

To find the length of the shorter leg of a 30°– 60°– 90° triangle, multiply the length of the longer leg by _______.

1 answer

The lengths opposite the 30-60-90 angles are in the proportion of 1:√3:2.
So the ratio of the longer leg:shorter leg is √3 : 1.
The other part is the reciprocal of the same ratio.