Right Triangle Calculator

Calculate the sides, angles, area, and perimeter of any right triangle

Enter Triangle Values

Side A (Base):

Side B (Height):

Side C (Hypotenuse):

Angle B (degrees):

Angle C (degrees):

Side A: -

Side B: -

Side C (Hypotenuse): -

Angle A (Right Angle): 90°

Angle B: -

Angle C: -

Area: -

Perimeter: -

Pythagorean Theorem

For right triangle with sides a, b and hypotenuse c:

a² + b² = c²

Area

Formula for area of a right triangle:

Area = (1/2) × a × b

Perimeter

Perimeter of a right triangle:

Perimeter = a + b + c

In This calculator, we will learn:

Missing Side Lengths: It can calculate the lengths of the two legs (sides adjacent to the right angle) and the hypotenuse (the longest side, opposite the right angle) using the Pythagorean theorem and trigonometric functions.
Missing Angles: It determines the measures of the two acute angles (angles other than the 90-degree angle) using inverse trigonometric functions (arcsin, arccos, arctan).
Area: It computes the area of the triangle using the formula: Area = ½ × base × height (where the base and height are the two legs).
Perimeter: It calculates the total perimeter of the triangle by summing the lengths of all three sides (a + b + c).