Right triangle calculator

Please enter two properties of the right triangle

Use symbols: a, b, c, A, B, h, T, p, r, R

You have entered cathetus a, cathetus b and hypotenuse c.

Right scalene triangle.

Sides: a = 80   b = 90   c = 120.4165945788

Area: T = 3600
Perimeter: p = 290.4165945788
Semiperimeter: s = 145.2087972894

Angle ∠ A = α = 41.63435393366° = 41°38'1″ = 0.72766423407 rad
Angle ∠ B = β = 48.36664606634° = 48°21'59″ = 0.84441539861 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 90
Height: hb = 80
Height: hc = 59.79327454947

Median: ma = 98.4898578018
Median: mb = 91.78877987534
Median: mc = 60.2087972894

Inradius: r = 24.7922027106
Circumradius: R = 60.2087972894

Vertex coordinates: A[120.4165945788; 0] B[0; 0] C[53.14991071064; 59.79327454947]
Centroid: CG[57.85550176314; 19.93109151649]
Coordinates of the circumscribed circle: U[60.2087972894; 0]
Coordinates of the inscribed circle: I[55.2087972894; 24.7922027106]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.3666460663° = 138°21'59″ = 0.72766423407 rad
∠ B' = β' = 131.6343539337° = 131°38'1″ = 0.84441539861 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a, cathetus b and hypotenuse c Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area - from two legs 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle - basic use of sine function   9. Calculation of medians Trigonometry right triangle solver. You can calculate angles, sides (adjacent, opposite, hypotenuse) and area of any right-angled triangle and use it in real world to find height. A right-angled triangle is entirely determined by two independent properties. Step-by-step explanations are provided for each calculation.

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