# Right triangle calculator (a,c) - result

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 hypotenuse c.

### Right scalene triangle.

Sides: a = 28   b = 45   c = 53

Area: T = 630
Perimeter: p = 126
Semiperimeter: s = 63

Angle ∠ A = α = 31.89107918018° = 31°53'27″ = 0.5576599318 rad
Angle ∠ B = β = 58.10992081982° = 58°6'33″ = 1.01441970088 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 45
Height: hb = 28
Height: hc = 23.77435849057

Median: ma = 47.12774866718
Median: mb = 35.92200501113
Median: mc = 26.5

Inradius: r = 10
Circumradius: R = 26.5

Vertex coordinates: A[53; 0] B[0; 0] C[14.79224528302; 23.77435849057]
Centroid: CG[22.59774842767; 7.92545283019]
Coordinates of the circumscribed circle: U[26.5; 0]
Coordinates of the inscribed circle: I[18; 10]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.1099208198° = 148°6'33″ = 0.5576599318 rad
∠ B' = β' = 121.8910791802° = 121°53'27″ = 1.01441970088 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and hypotenuse c ### 2. From cathetus a and hypotenuse c we calculate cathetus b - 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   