Math

30 60 90 Triangle Calculator

Solve a 30-60-90 triangle from the short leg.

Calculated Output

Long leg (opposite 60°) 6.928

Hypotenuse 8

Area 13.856

Formula: ratio 1 : √3 : 2

Step-by-Step Breakdown

1. Values used:

2. Short leg (opposite 30°) = 4

4. Long leg (opposite 60°) = 6.928

5. Hypotenuse = 8

6. Area = 13.856

Did this calculator solve your problem today?

The math behind it

Long leg = short × √3; hypotenuse = short × 2.

Short 4 → long 6.93, hypotenuse 8.

From the hypotenuse?

Short leg = hypotenuse ÷ 2.