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 = 97.35498844375   b = 64.98999229584   c = 117

Area: T = 3159
Perimeter: p = 279.2549807396
Semiperimeter: s = 139.6254903698

Angle ∠ A = α = 56.3109932474° = 56°18'36″ = 0.98327937232 rad
Angle ∠ B = β = 33.6990067526° = 33°41'24″ = 0.58880026035 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 64.98999229584
Height: hb = 97.35498844375
Height: hc = 54

Median: ma = 81.12549036979
Median: mb = 102.6165788259
Median: mc = 58.5

Inradius: r = 22.62549036979
Circumradius: R = 58.5

Vertex coordinates: A[117; 0] B[0; 0] C[81; 54]
Centroid: CG[66; 18]
Coordinates of the circumscribed circle: U[58.5; -0]
Coordinates of the inscribed circle: I[74.72549807396; 22.62549036979]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.6990067526° = 123°41'24″ = 0.98327937232 rad
∠ B' = β' = 146.3109932474° = 146°18'36″ = 0.58880026035 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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