Right triangle calculator (a,b)

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 cathetus b.

Right scalene triangle.

Sides: a = 61   b = 39   c = 72.40216574396

Area: T = 1189.5
Perimeter: p = 172.402165744
Semiperimeter: s = 86.20108287198

Angle ∠ A = α = 57.40774185274° = 57°24'27″ = 1.00219484684 rad
Angle ∠ B = β = 32.59325814726° = 32°35'33″ = 0.56988478584 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 39
Height: hb = 61
Height: hc = 32.85883638018

Median: ma = 49.51100999797
Median: mb = 64.04110024906
Median: mc = 36.20108287198

Inradius: r = 13.79991712802
Circumradius: R = 36.20108287198

Vertex coordinates: A[72.40216574396; 0] B[0; 0] C[51.39438510745; 32.85883638018]
Centroid: CG[41.26551695047; 10.95327879339]
Coordinates of the circumscribed circle: U[36.20108287198; -0]
Coordinates of the inscribed circle: I[47.20108287198; 13.79991712802]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.5932581473° = 122°35'33″ = 1.00219484684 rad
∠ B' = β' = 147.4077418527° = 147°24'27″ = 0.56988478584 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

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