Right Triangle Calculator

The right triangle calculator solves any right triangle when you know two legs. Get complete results including all three sides, both acute angles, area, perimeter, and trigonometric ratios (sin, cos, tan).

1. Enter the length of leg a (adjacent to angle B)
2. Enter the length of leg b (adjacent to angle A)
3. View all calculated values: hypotenuse, angles, area, perimeter
4. Check the trigonometric ratios for angle A
5. Expand "Solution Steps" to see the detailed calculation process

• Calculate hypotenuse using Pythagorean theorem
• Find both acute angles using inverse trigonometry
• Display sin, cos, and tan values for angle A
• Calculate area and perimeter
• Show inradius and circumradius
• Step-by-step solution with formulas
• Visual triangle preview with labels

What makes a triangle a "right triangle"?

A right triangle has exactly one 90-degree angle. The side opposite to this right angle is called the hypotenuse and is always the longest side.

What are the two acute angles?

The two acute angles (A and B) are always complementary, meaning they add up to 90°. If angle A is 30°, then angle B is 60°.

How is the area calculated?

For a right triangle, area = (1/2) × leg a × leg b. The two legs form the right angle, making this calculation straightforward.

What is the circumradius of a right triangle?

The circumradius (R) of a right triangle equals half the hypotenuse: R = c/2. This is because the hypotenuse is the diameter of the circumscribed circle.