Right triangle calculator (b,v)

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 height h.

Right scalene triangle.

Sides: a = 6.09988399073   b = 9.3   c = 11.12114139485

Area: T = 28.36596055687
Perimeter: p = 26.52202538558
Semiperimeter: s = 13.26601269279

Angle ∠ A = α = 33.2566431286° = 33°15'23″ = 0.58804342234 rad
Angle ∠ B = β = 56.7443568714° = 56°44'37″ = 0.99903621034 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 9.3
Height: hb = 6.09988399073
Height: hc = 5.1

Median: ma = 9.78771835608
Median: mb = 7.66993121083
Median: mc = 5.56107069743

Inradius: r = 2.13987129794
Circumradius: R = 5.56107069743

Vertex coordinates: A[11.12114139485; 0] B[0; 0] C[3.34545251104; 5.1]
Centroid: CG[4.82219796863; 1.7]
Coordinates of the circumscribed circle: U[5.56107069743; 0]
Coordinates of the inscribed circle: I[3.96601269279; 2.13987129794]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.7443568714° = 146°44'37″ = 0.58804342234 rad
∠ B' = β' = 123.2566431286° = 123°15'23″ = 0.99903621034 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus b and height h 2. From height h and cathetus b we calculate hypotenuse c - Euclid's theorem: 3. From cathetus b and hypotenuse c we calculate cathetus 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area - from two legs 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle - basic use of sine function   11. 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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