# Triangle calculator

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

### Acute scalene triangle.

Sides: a = 39   b = 114   c = 111.8788216042

Area: T = 2166.025465402
Perimeter: p = 264.8788216042
Semiperimeter: s = 132.4399108021

Angle ∠ A = α = 19.85660941825° = 19°51'22″ = 0.34765542201 rad
Angle ∠ B = β = 83.14439058175° = 83°8'38″ = 1.45111349095 rad
Angle ∠ C = γ = 77° = 1.3443903524 rad

Height: ha = 111.0788187386
Height: hb = 388.0004325266
Height: hc = 38.72111153457

Median: ma = 111.2488000487
Median: mb = 61.39992476533
Median: mc = 64.26597556314

Inradius: r = 16.35548719588
Circumradius: R = 57.41105363483

Vertex coordinates: A[111.8788216042; 0] B[0; 0] C[4.6565666052; 38.72111153457]
Centroid: CG[38.84546273647; 12.90770384486]
Coordinates of the circumscribed circle: U[55.93991080211; 12.9154560682]
Coordinates of the inscribed circle: I[18.43991080211; 16.35548719588]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.1443905818° = 160°8'38″ = 0.34765542201 rad
∠ B' = β' = 96.85660941825° = 96°51'22″ = 1.45111349095 rad
∠ C' = γ' = 103° = 1.3443903524 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.