Right Angle Triangle Calculator
Right Angle Triangle Calculator – Our online tools make it easy to get quick answers for all your calculation and conversion needs. On this page, you can solve right-triangle problems effortlessly. Calculate angles, sides (adjacent, opposite, or hypotenuse), and even the area of any right-angled triangle. You can use these results in real situations—like finding heights, distances, or measurements in construction and navigation.
Right Angle Triangle Calculator
Calculate missing sides, angles, area, and perimeter using Pythagorean theorem and trigonometry
📏 Enter Known Values (Any 2)
Side a
3.00
units
Side b
4.00
units
Hypotenuse c
5.00
units
Angle α
36.87
degrees
Angle β
53.13
degrees
Angle γ
90.00
degrees (right angle)
📐 Formulas Used
Pythagorean Theorem
a² + b² = c²
Area of Triangle
Area = (a × b) / 2
Perimeter
Perimeter = a + b + c
Trigonometry
sin(α) = a/c, cos(α) = b/c, tan(α) = a/b
📊 Triangle Properties
Area
6.00
Perimeter
12.00
Altitude h (to c)
2.40
Inradius
1.00
Circumradius
2.50
Median to c
2.50
ℹ️
About Right Angle Triangles
A right triangle has one 90° angle. The Pythagorean theorem (a² + b² = c²) relates the three sides, where c is the hypotenuse (longest side opposite the right angle). The other two angles always sum to 90°. Trigonometric ratios (sin, cos, tan) connect angles to side lengths [web:86][web:91][web:92].
The calculator uses these core formulas:
Pythagorean Theorem
a² + b² = c²
Trigonometric Functions
sin(A) = a/c, cos(A) = b/c, tan(A) = a/b
sin(B) = b/c, cos(B) = a/c, tan(B) = b/a
Area Formula
Area = (a × b) / 2, where a is the height and b is the base of the right triangle
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