# 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 b.

### Right scalene triangle.

Sides: a = 6   b = 7.416   c = 9.53992377054

Area: T = 22.248
Perimeter: p = 22.95552377054
Semiperimeter: s = 11.47876188527

Angle ∠ A = α = 38.97549881449° = 38°58'30″ = 0.68802418691 rad
Angle ∠ B = β = 51.02550118551° = 51°1'30″ = 0.89105544577 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 7.416
Height: hb = 6
Height: hc = 4.66545236626

Median: ma = 87.9998159979
Median: mb = 7.0533315816
Median: mc = 4.77696188527

Vertex coordinates: A[9.53992377054; 0] B[0; 0] C[3.77438864584; 4.66545236626]
Centroid: CG[4.43877080546; 1.55548412209]
Coordinates of the circumscribed circle: U[4.77696188527; -0]
Coordinates of the inscribed circle: I[4.06216188527; 1.93883811473]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.0255011855° = 141°1'30″ = 0.68802418691 rad
∠ B' = β' = 128.9754988145° = 128°58'30″ = 0.89105544577 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: and cathetus b ### 2. From cathetus b we calculate hypotenuse c - Pythagorean theorem: 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. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area - from two legs ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle - basic use of sine function   ### 10. 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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