# Triangle calculator - result

Please enter what you know about the triangle:
You have entered side a, b and height hc.

### Obtuse scalene triangle.

Sides: a = 3   b = 2   c = 4.79106898287

Area: T = 1.677674144
Perimeter: p = 9.79106898287
Semiperimeter: s = 4.89553449143

Angle ∠ A = α = 20.48773151147° = 20°29'14″ = 0.35875711036 rad
Angle ∠ B = β = 13.49333988216° = 13°29'36″ = 0.23655042367 rad
Angle ∠ C = γ = 146.0199286064° = 146°1'9″ = 2.54985173132 rad

Height: ha = 1.11878276267
Height: hb = 1.677674144
Height: hc = 0.7

Median: ma = 3.35504260203
Median: mb = 3.87698003201
Median: mc = 0.87331109559

Inradius: r = 0.34325175283
Circumradius: R = 4.28657142857

Vertex coordinates: A[4.79106898287; 0] B[0; 0] C[2.91771904292; 0.7]
Centroid: CG[2.56992934193; 0.23333333333]
Coordinates of the circumscribed circle: U[2.39553449143; -3.55438246552]
Coordinates of the inscribed circle: I[2.89553449143; 0.34325175283]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.5132684885° = 159°30'46″ = 0.35875711036 rad
∠ B' = β' = 166.5076601178° = 166°30'24″ = 0.23655042367 rad
∠ C' = γ' = 33.98107139363° = 33°58'51″ = 2.54985173132 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and height hc. ### 2. From angle α, side b and side a we calculate side c - by using the law of cosines and quadratic equation:  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 using Heron's formula ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle using a Law of Cosines ### 8. Inradius ### 9. Circumradius ### 10. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.