30 60 90 Triangle Calculator

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

Long leg (opposite 60°) 6.928

Hypotenuse 8

Area 13.856

Formula: ratio 1 : √3 : 2

Step-by-step with your numbers:

1. Values used:

2. Short leg (opposite 30°) = 4

4. Long leg (opposite 60°) = 6.928

5. Hypotenuse = 8

6. Area = 13.856

Did we solve your problem today?

A right triangle with the fixed side ratio 1 : √3 : 2.

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.