Right Triangle Calculator

Calculate all elements of a right triangle.

Select calculation mode

Visualization

a = 3 b = 4 c = —αβ90°36.8699° 53.1301°

Hypotenuse

c = √(a² + b²)

Leg A

0,00

Leg B

0,00

Hypotenuse

0,00

Angles

α

36.8699°

β

53.1301°

γ

90°

Area

0,00

Perimeter

0,00

Inradius

0,0000

Circumradius

0,0000

Trigonometric Ratios

sin(α) = 0.6

cos(α) = 0.8

tan(α) = 0.75

sin(β) = 0.8

cos(β) = 0.6

tan(β) = 1.3333

What is a Right Triangle?

It's a triangle with one 90° angle. The side opposite the right angle is called hypotenuse; the other two are legs.

Trigonometry

sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. These relationships are fundamental.

Special Triangles

45-45-90: equal legs, hypotenuse = leg × √2. 30-60-90: sides in ratio 1:√3:2.

Preguntas Frecuentes

How do I identify the hypotenuse?

It's always the longest side and is opposite to the 90° angle.

What is the inradius?

It's the radius of the largest circle that fits inside the triangle, tangent to all three sides.

How do I use trigonometric ratios?

SOH-CAH-TOA: Sin=Opposite/Hypotenuse, Cos=Adjacent/Hypotenuse, Tan=Opposite/Adjacent.