# 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 cathetus a and cathetus b.

### Right scalene triangle.

Sides: a = 15   b = 8   c = 17

Area: T = 60
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 61.92875130641° = 61°55'39″ = 1.08108390005 rad
Angle ∠ B = β = 28.07224869359° = 28°4'21″ = 0.49899573263 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 8
Height: hb = 15
Height: hc = 7.05988235294

Median: ma = 10.96658560997
Median: mb = 15.52441746963
Median: mc = 8.5

Vertex coordinates: A[17; 0] B[0; 0] C[13.23552941176; 7.05988235294]
Centroid: CG[10.07884313725; 2.35329411765]
Coordinates of the circumscribed circle: U[8.5; -0]
Coordinates of the inscribed circle: I[12; 3]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 118.0722486936° = 118°4'21″ = 1.08108390005 rad
∠ B' = β' = 151.9287513064° = 151°55'39″ = 0.49899573263 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: