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

Short Leg length =
Long Leg length/√3

Short Leg length =
6/√3

Rationalize to remove the radical from the denominator:
Short Leg length =
6 * √3/√3 * √3

Short Leg length =
6√3/3

Short Leg length = 2√3 = 3.464101615138
Hypotenuse length = 2 * Short Leg length
Hypotenuse length = 2 * 2√3
Hypotenuse length = 4√3 = 6.928203230276

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

Find the Hypotenuse of a Right Triangle | Given Leg Lengths

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 Long Leg length = 72

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 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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