# 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 = 330   b = 550   c = 641.4054708433

Area: T = 90750
Perimeter: p = 1521.405470843
Semiperimeter: s = 760.7022354216

Angle ∠ A = α = 30.96437565321° = 30°57'50″ = 0.54404195003 rad
Angle ∠ B = β = 59.03662434679° = 59°2'10″ = 1.03303768265 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 550
Height: hb = 330
Height: hc = 282.9732665485

Median: ma = 574.217685799
Median: mb = 429.5643732175
Median: mc = 320.7022354216

Vertex coordinates: A[641.4054708433; 0] B[0; 0] C[169.7843599291; 282.9732665485]
Centroid: CG[270.3966102575; 94.32442218284]
Coordinates of the circumscribed circle: U[320.7022354216; 0]
Coordinates of the inscribed circle: I[210.7022354216; 119.2987645784]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.0366243468° = 149°2'10″ = 0.54404195003 rad
∠ B' = β' = 120.9643756532° = 120°57'50″ = 1.03303768265 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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