# 14 15 20 triangle

### Acute scalene triangle.

Sides: a = 14   b = 15   c = 20

Area: T = 104.8698667866
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 44.35768008383° = 44°21'24″ = 0.77441722203 rad
Angle ∠ B = β = 48.50991831443° = 48°30'33″ = 0.84766449633 rad
Angle ∠ C = γ = 87.13440160174° = 87°8'2″ = 1.521077547 rad

Height: ha = 14.98112382666
Height: hb = 13.98224890488
Height: hc = 10.48768667866

Median: ma = 16.23326830807
Median: mb = 15.54883118055
Median: mc = 10.51218980208

Inradius: r = 4.28803537905
Circumradius: R = 10.01325234864

Vertex coordinates: A[20; 0] B[0; 0] C[9.275; 10.48768667866]
Centroid: CG[9.75883333333; 3.49656222622]
Coordinates of the circumscribed circle: U[10; 0.50106261743]
Coordinates of the inscribed circle: I[9.5; 4.28803537905]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.6433199162° = 135°38'36″ = 0.77441722203 rad
∠ B' = β' = 131.4910816856° = 131°29'27″ = 0.84766449633 rad
∠ C' = γ' = 92.86659839826° = 92°51'58″ = 1.521077547 rad

# How did we calculate this triangle?

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. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. 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.