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Missing lengths of a 30°-60°-90° Special Right Triangle given Long Leg length = 72

Short Leg length =
Long Leg length/√3

Short Leg length =
72/√3

Rationalize to remove the radical from the denominator:
Short Leg length =
72 * √3/√3 * √3

Short Leg length =
72√3/3

Short Leg length = 24√3 = 41.569219381653
Hypotenuse length = 2 * Short Leg length
Hypotenuse length = 2 * 24√3
Hypotenuse length = 48√3 = 83.138438763306

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

Related Glossary Terms

Hypotenuse

Product Rule for Radicals

Pythagorean Theorem

Right Triangle

Related Applications

Determine whether a Triangle is a Right Triangle

Find Missing Lengths of a 45°-45°-90° Special Right Triangle

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Find the Square Root of a Number

Related Solutions

Missing lengths of a 30°-60°-90° Special Right Triangle given Hypotenuse length = 15

Missing lengths of a 30°-60°-90° Special Right Triangle given Hypotenuse length = 16

Missing lengths of a 30°-60°-90° Special Right Triangle given Long Leg length = 6

Missing lengths of a 30°-60°-90° Special Right Triangle given Hypotenuse length = 24

Missing lengths of a 30°-60°-90° Special Right Triangle given Short Leg length = 6

Missing lengths of a 30°-60°-90° Special Right Triangle given Long Leg length = 18

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