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 hypotenuse c.

Right scalene triangle.

Sides: a = 8.08439459095   b = 3.34884800332   c = 8.75

Area: T = 13.53444657336
Perimeter: p = 20.18224259427
Semiperimeter: s = 10.09112129713

Angle ∠ A = α = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ B = β = 22.5° = 22°30' = 0.39326990817 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 3.34884800332
Height: hb = 8.08439459095
Height: hc = 3.09435921677

Median: ma = 5.24987964239
Median: mb = 8.25554988402
Median: mc = 4.375

Inradius: r = 1.34112129713
Circumradius: R = 4.375

Vertex coordinates: A[8.75; 0] B[0; 0] C[7.46985921677; 3.09435921677]
Centroid: CG[5.40661973892; 1.03111973892]
Coordinates of the circumscribed circle: U[4.375; 0]
Coordinates of the inscribed circle: I[6.74327329381; 1.34112129713]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5° = 112°30' = 1.17880972451 rad
∠ B' = β' = 157.5° = 157°30' = 0.39326990817 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: hypotenuse c 2. From we calculate angle α: 3. From hypotenuse c and angle α we calculate cathetus a: 4. 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. 5. The triangle circumference is the sum of the lengths of its three sides 6. Semiperimeter of the triangle 7. The triangle area - from two legs 8. Calculate the heights of the triangle from its area. 9. Calculation of the inner angles of the triangle - basic use of sine function   12. 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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