# Right triangle calculator (c,v)

Please enter two properties of the right triangle

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

You have entered hypotenuse c and height h.

### Right scalene triangle.

Sides: a = 33.63302049227   b = 12.84655952318   c = 36

Area: T = 216
Perimeter: p = 82.47658001545
Semiperimeter: s = 41.23879000772

Angle ∠ A = α = 69.09548425521° = 69°5'41″ = 1.20659324987 rad
Angle ∠ B = β = 20.90551574479° = 20°54'19″ = 0.36548638281 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 12.84655952318
Height: hb = 33.63302049227
Height: hc = 12

Median: ma = 21.16602690825
Median: mb = 34.23880345866
Median: mc = 18

Inradius: r = 5.23879000772
Circumradius: R = 18

Vertex coordinates: A[36; 0] B[0; 0] C[31.4166407865; 12]
Centroid: CG[22.4722135955; 4]
Coordinates of the circumscribed circle: U[18; 0]
Coordinates of the inscribed circle: I[28.39223048454; 5.23879000772]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 110.9055157448° = 110°54'19″ = 1.20659324987 rad
∠ B' = β' = 159.0954842552° = 159°5'41″ = 0.36548638281 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: hypotenuse c and height h ### 2. From hypotenuse c and height h we calculate a,b - Pythagorean theorem, Euclid's 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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