Right triangle calculator (a,c)

Please enter two properties of the right triangle

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

You have entered cathetus a and hypotenuse c.

Right scalene triangle.

Sides: a = 60   b = 68.41878339324   c = 91

Area: T = 2052.535501797
Perimeter: p = 219.4187833932
Semiperimeter: s = 109.7098916966

Angle ∠ A = α = 41.2549607094° = 41°14'59″ = 0.72199414589 rad
Angle ∠ B = β = 48.7550392906° = 48°45'1″ = 0.85108548679 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 68.41878339324
Height: hb = 60
Height: hc = 45.11106597356

Median: ma = 74.70660907825
Median: mb = 69.067699646
Median: mc = 45.5

Inradius: r = 18.70989169662
Circumradius: R = 45.5

Vertex coordinates: A[91; 0] B[0; 0] C[39.56604395604; 45.11106597356]
Centroid: CG[43.52201465201; 15.03768865785]
Coordinates of the circumscribed circle: U[45.5; 0]
Coordinates of the inscribed circle: I[41.29110830338; 18.70989169662]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.7550392906° = 138°45'1″ = 0.72199414589 rad
∠ B' = β' = 131.2549607094° = 131°14'59″ = 0.85108548679 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a and hypotenuse c 2. From cathetus a and hypotenuse c we calculate cathetus b - 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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