# Right triangle calculator (a,b) - result

Please enter two properties of the right triangle

Use symbols: a, b, c, A, B, h, T, p, r, R

You have entered median ma and median mb.

### Right scalene triangle.

Sides: a = 6   b = 20.78546096908   c = 21.63333076528

Area: T = 62.35438290725
Perimeter: p = 48.41879173436
Semiperimeter: s = 24.20989586718

Angle ∠ A = α = 16.1022113752° = 16°6'8″ = 0.28110349015 rad
Angle ∠ B = β = 73.8987886248° = 73°53'52″ = 1.29897614253 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 20.78546096908
Height: hb = 6
Height: hc = 5.7654613537

Median: ma = 21
Median: mb = 12
Median: mc = 10.81766538264

Inradius: r = 2.5765651019
Circumradius: R = 10.81766538264

Vertex coordinates: A[21.63333076528; 0] B[0; 0] C[1.66441005887; 5.7654613537]
Centroid: CG[7.76658027472; 1.92215378457]
Coordinates of the circumscribed circle: U[10.81766538264; -0]
Coordinates of the inscribed circle: I[3.4244348981; 2.5765651019]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.8987886248° = 163°53'52″ = 0.28110349015 rad
∠ B' = β' = 106.1022113752° = 106°6'8″ = 1.29897614253 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: median ma and median mb ### 2. From we calculate hypotenuse c - 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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