Sides: 5 / 8.66 / 10 cm | Area: 21.651 cm^2 | Altitude: 4.33 cm
The three sides hold the ratio 1 : √3 : 2. The long leg (8.66 cm) is √3 ≈ 1.732 times the short leg, and the hypotenuse (10 cm) is exactly twice the short leg.
The altitude from the right-angle vertex to the hypotenuse is 4.33 cm. This is also the geometric mean altitude, so h = a × b / c.
The circumradius (5 cm) equals the short leg and is exactly half the hypotenuse. The incircle has radius 1.83 cm.
Because the shape is determined entirely by its angles, a single measured value (side, height, area, or perimeter) is enough to reconstruct the whole triangle.
Next stepTo solve a right triangle without the 30-60-90 constraint, use the right triangle calculator.