# Triangle calculator

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

### Right isosceles triangle.

Sides: a = 280   b = 280   c = 395.9879797464

Area: T = 39200
Perimeter: p = 955.9879797465
Semiperimeter: s = 477.9989898732

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 280
Height: hb = 280
Height: hc = 197.9989898732

Median: ma = 313.054951685
Median: mb = 313.054951685
Median: mc = 197.9989898732

Inradius: r = 82.01101012678
Circumradius: R = 197.9989898732

Vertex coordinates: A[395.9879797464; 0] B[0; 0] C[197.9989898732; 197.9989898732]
Centroid: CG[197.9989898732; 65.99766329107]
Coordinates of the circumscribed circle: U[197.9989898732; 0]
Coordinates of the inscribed circle: I[197.9989898732; 82.01101012678]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and angle γ. ### 2. Calculation of the third side c of the triangle using a Law of Cosines 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.