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 _______.
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.
To find the length of the longer leg of a 30°–60°–90° triangle, you need to know the length of the shorter leg. The ratio between the shorter leg and the longer leg in a 30°–60°–90° triangle is 1:√3:2. So, to find the length of the longer leg, you multiply the length of the shorter leg by √3.
To find the length of the shorter leg of a 30°–60°–90° triangle, you need to know the length of the longer leg. The ratio between the shorter leg and the longer leg in a 30°–60°–90° triangle is 1:√3:2. So, to find the length of the shorter leg, you multiply the length of the longer leg by 1/√3, which is the same as multiplying it by √3/3 or dividing it by √3.