Skip to content
MathOnDemand.com
MathOnDemand.com
  • CONTENT
    • TUTORS
    • APPLICATIONS
    • GLOSSARY
    • SOLUTIONS
    • VIDEOS
    • NEWS FEEDS

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

Short Leg length =
Long Leg length/√3

Short Leg length =
24/√3

Rationalize to remove the radical from the denominator:
Short Leg length =
24 * √3/√3 * √3

Short Leg length =
24√3/3

Short Leg length = 8√3 = 13.856406460551
Hypotenuse length = 2 * Short Leg length
Hypotenuse length = 2 * 8√3
Hypotenuse length = 16√3 = 27.712812921102

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 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 Long Leg length = 18

Copyright © Math On Demand, Inc. 2025