# Right triangle calculator (a,b)

Please enter two properties of the right triangle

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

You have entered cathetus a and cathetus b.

### Right scalene triangle.

Sides: a = 165   b = 250   c = 299.5411316015

Area: T = 20625
Perimeter: p = 714.5411316015
Semiperimeter: s = 357.2710658008

Angle ∠ A = α = 33.42548111826° = 33°25'29″ = 0.5833373007 rad
Angle ∠ B = β = 56.57551888174° = 56°34'31″ = 0.98774233198 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 250
Height: hb = 165
Height: hc = 137.7110552083

Median: ma = 263.2610802248
Median: mb = 207.0022415445
Median: mc = 149.7710658008

Vertex coordinates: A[299.5411316015; 0] B[0; 0] C[90.88989643746; 137.7110552083]
Centroid: CG[130.1433426796; 45.90435173609]
Coordinates of the circumscribed circle: U[149.7710658008; -0]
Coordinates of the inscribed circle: I[107.2710658008; 57.72993419925]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.5755188817° = 146°34'31″ = 0.5833373007 rad
∠ B' = β' = 123.4254811183° = 123°25'29″ = 0.98774233198 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and cathetus b ### 2. From cathetus a and cathetus b 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   ### 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.

Calculate right triangle by: