Right triangle calculator (a,c)
Right scalene Pythagorean triangle.
Sides: a = 84 b = 63 c = 105Area: T = 2646
Perimeter: p = 252
Semiperimeter: s = 126
Angle ∠ A = α = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ B = β = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad
Height: ha = 63
Height: hb = 84
Height: hc = 50.4
Median: ma = 75.71765767847
Median: mb = 89.71220393258
Median: mc = 52.5
Inradius: r = 21
Circumradius: R = 52.5
Vertex coordinates: A[105; 0] B[0; 0] C[67.2; 50.4]
Centroid: CG[57.4; 16.8]
Coordinates of the circumscribed circle: U[52.5; -0]
Coordinates of the inscribed circle: I[63; 21]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ B' = β' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ C' = γ' = 90° = 1.57107963268 rad
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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 using Heron's formula

6. Calculate the heights of the triangle from its area.

7. Calculation of the inner angles of the triangle using a Law of Cosines

8. Inradius

9. Circumradius

Trigonometry right triangle solver. Find the hypotenuse c of a triangle - calculator. Area T of right triangle calculator.
Calculate right triangle by:
- two cathetuses a and b
- cathetus a and hypotenuse c
- cathetus a and opposite angle A
- cathetus a and adjacent angle B
- hypotenuse c and angle A
- hypotenuse c and height h
- area T and hypotenuse c
- area T and cathetus a
- area T and angle A
- circumradius R and cathetus b
- perimeter p and hypotenuse c
- perimeter p and cathetus a
- inradius r and cathetus a
- inradius r and area T