# 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 = 95   b = 140   c = 169.1899243157

Area: T = 6650
Perimeter: p = 404.1899243157
Semiperimeter: s = 202.0954621578

Angle ∠ A = α = 34.16596945457° = 34°9'35″ = 0.59661991413 rad
Angle ∠ B = β = 55.84403054543° = 55°50'25″ = 0.97545971855 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 140
Height: hb = 95
Height: hc = 78.61101985672

Median: ma = 147.839859442
Median: mb = 118.0044237212
Median: mc = 84.59546215784

Vertex coordinates: A[169.1899243157; 0] B[0; 0] C[53.3432634742; 78.61101985672]
Centroid: CG[74.1777292633; 26.20333995224]
Coordinates of the circumscribed circle: U[84.59546215784; 0]
Coordinates of the inscribed circle: I[62.09546215784; 32.90553784216]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.8440305454° = 145°50'25″ = 0.59661991413 rad
∠ B' = β' = 124.1659694546° = 124°9'35″ = 0.97545971855 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: