# 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 = 189.737665961   b = 63.24655532034   c = 200

Area: T = 6000
Perimeter: p = 452.9822212813
Semiperimeter: s = 226.4911106407

Angle ∠ A = α = 71.56550511771° = 71°33'54″ = 1.24990457724 rad
Angle ∠ B = β = 18.43549488229° = 18°26'6″ = 0.32217505544 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 63.24655532034
Height: hb = 189.737665961
Height: hc = 60

Median: ma = 114.018754251
Median: mb = 192.3543840617
Median: mc = 100

Inradius: r = 26.49111064067
Circumradius: R = 100

Vertex coordinates: A[200; 0] B[0; 0] C[180; 60]
Centroid: CG[126.6676666667; 20]
Coordinates of the circumscribed circle: U[100; -0]
Coordinates of the inscribed circle: I[163.2465553203; 26.49111064067]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108.4354948823° = 108°26'6″ = 1.24990457724 rad
∠ B' = β' = 161.5655051177° = 161°33'54″ = 0.32217505544 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 ### 8. Inradius ### 9. Circumradius ### 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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