# 5 14 14 triangle

### Acute isosceles triangle.

Sides: a = 5   b = 14   c = 14

Area: T = 34.43774432849
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 20.57331212229° = 20°34'23″ = 0.35990687028 rad
Angle ∠ B = β = 79.71334393885° = 79°42'48″ = 1.39112619754 rad
Angle ∠ C = γ = 79.71334393885° = 79°42'48″ = 1.39112619754 rad

Height: ha = 13.7754977314
Height: hb = 4.9219634755
Height: hc = 4.9219634755

Median: ma = 13.7754977314
Median: mb = 7.84221935707
Median: mc = 7.84221935707

Inradius: r = 2.08771177748
Circumradius: R = 7.11443492847

Vertex coordinates: A[14; 0] B[0; 0] C[0.89328571429; 4.9219634755]
Centroid: CG[4.96442857143; 1.64398782517]
Coordinates of the circumscribed circle: U[7; 1.27704195151]
Coordinates of the inscribed circle: I[2.5; 2.08771177748]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.4276878777° = 159°25'37″ = 0.35990687028 rad
∠ B' = β' = 100.2876560611° = 100°17'12″ = 1.39112619754 rad
∠ C' = γ' = 100.2876560611° = 100°17'12″ = 1.39112619754 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.