# Triangle calculator

Please enter what you know about the triangle:
You have entered side a, c and angle γ.

### Right scalene triangle.

Sides: a = 828   b = 2974.922184771   c = 3088

Area: T = 1231617.645495
Perimeter: p = 6890.922184771
Semiperimeter: s = 3445.461092386

Angle ∠ A = α = 15.55333016278° = 15°33'12″ = 0.2711456323 rad
Angle ∠ B = β = 74.44766983722° = 74°26'48″ = 1.29993400038 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 2974.922184771
Height: hb = 828
Height: hc = 797.6879821861

Median: ma = 3003.591051803
Median: mb = 1702.388773492
Median: mc = 1544

Inradius: r = 357.4610923857
Circumradius: R = 1544

Vertex coordinates: A[3088; 0] B[0; 0] C[222.0165544041; 797.6879821861]
Centroid: CG[1103.339851468; 265.8933273954]
Coordinates of the circumscribed circle: U[1544; -0]
Coordinates of the inscribed circle: I[470.5399076143; 357.4610923857]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.4476698372° = 164°26'48″ = 0.2711456323 rad
∠ B' = β' = 105.5533301628° = 105°33'12″ = 1.29993400038 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, c and angle γ. ### 2. From angle γ, side a and side c we calculate side b - 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.