# Triangle calculator

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

### Right scalene triangle.

Sides: a = 3400   b = 68   c = 3399.321993199

Area: T = 115576.8787688
Perimeter: p = 6867.321993199
Semiperimeter: s = 3433.665996599

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 1.14659919984° = 1°8'46″ = 0.02200013336 rad
Angle ∠ C = γ = 88.85440080016° = 88°51'14″ = 1.55107949932 rad

Height: ha = 67.98663986397
Height: hb = 3399.321993199
Height: hc = 68

Median: ma = 1700
Median: mb = 3399.498996174
Median: mc = 1701.021969418

Inradius: r = 33.66599659932
Circumradius: R = 1700

Vertex coordinates: A[3399.321993199; 0] B[0; 0] C[3399.321993199; 68]
Centroid: CG[2266.213328799; 22.66766666667]
Coordinates of the circumscribed circle: U[1699.665996599; 34]
Coordinates of the inscribed circle: I[3365.665996599; 33.66599659932]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 178.8544008002° = 178°51'14″ = 0.02200013336 rad
∠ C' = γ' = 91.14659919984° = 91°8'46″ = 1.55107949932 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and angle α. ### 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.