Missing lengths of a 30°-60°-90° Special Right Triangle given Hypotenuse length = 3√6

Short Leg length =
Hypotenuse length/2

Short Leg length =
3√6/2
= 1.5√6 = 3.674234614175
Long Leg length = Short Leg length * √3
Long Leg length =
3√6/2
* √3
Long Leg length =
3√6 * √3/2

Long Leg length =
3√18/2

Applying the product rule for radicals: √18 = √9 * √2
Long Leg length =
3 * (√9 * √2)/2

Long Leg length =
3 * 3√2/2

Long Leg length =
9√2/2
= 4.5√2 = 6.363961030679

The solution above and other related solutions were provided by the 30°-60°-90° Special Right Triangle Application. 

Find Missing Lengths of a 30-60-90 Special Right Triangle

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