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 = 145.7743797371   b = 87.46442784227   c = 170

Area: T = 6375
Perimeter: p = 403.2388075794
Semiperimeter: s = 201.6199037897

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

Height: ha = 87.46442784227
Height: hb = 145.7743797371
Height: hc = 75

Median: ma = 113.8532975367
Median: mb = 152.1922312552
Median: mc = 85

Inradius: r = 31.61990378969
Circumradius: R = 85

Vertex coordinates: A[170; 0] B[0; 0] C[125; 75]
Centroid: CG[98.33333333333; 25]
Coordinates of the circumscribed circle: U[85; -0]
Coordinates of the inscribed circle: I[114.1554759474; 31.61990378969]

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