# Right triangle calculator (b,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 b and hypotenuse c.

### Right scalene Pythagorean triangle.

Sides: a = 46.2   b = 61.6   c = 77

Area: T = 1422.96
Perimeter: p = 184.8
Semiperimeter: s = 92.4

Angle ∠ A = α = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 61.6
Height: hb = 46.2
Height: hc = 36.96

Median: ma = 65.78988288389
Median: mb = 55.52554896421
Median: mc = 38.5

Inradius: r = 15.4
Circumradius: R = 38.5

Vertex coordinates: A[77; 0] B[0; 0] C[27.72; 36.96]
Centroid: CG[34.90766666667; 12.32]
Coordinates of the circumscribed circle: U[38.5; 0]
Coordinates of the inscribed circle: I[30.8; 15.4]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

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