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 = 7.81545750947   b = 13.8   c = 15.85989906334

Area: T = 53.92105681537
Perimeter: p = 37.47435657282
Semiperimeter: s = 18.73767828641

Angle ∠ A = α = 29.5221730485° = 29°31'18″ = 0.51552513978 rad
Angle ∠ B = β = 60.4788269515° = 60°28'42″ = 1.05655449289 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 13.8
Height: hb = 7.81545750947
Height: hc = 6.8

Median: ma = 14.34224856973
Median: mb = 10.42548541434
Median: mc = 7.92994953167

Inradius: r = 2.87877922307
Circumradius: R = 7.92994953167

Vertex coordinates: A[15.85989906334; 0] B[0; 0] C[3.85106601916; 6.8]
Centroid: CG[6.57698836083; 2.26766666667]
Coordinates of the circumscribed circle: U[7.92994953167; 0]
Coordinates of the inscribed circle: I[4.93767828641; 2.87877922307]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.4788269515° = 150°28'42″ = 0.51552513978 rad
∠ B' = β' = 119.5221730485° = 119°31'18″ = 1.05655449289 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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