# 14 14 17 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 14   c = 17

Area: T = 94.55765307105
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 52.61768015821° = 52°37' = 0.91883364295 rad
Angle ∠ B = β = 52.61768015821° = 52°37' = 0.91883364295 rad
Angle ∠ C = γ = 74.76663968357° = 74°45'59″ = 1.30549197946 rad

Height: ha = 13.50880758158
Height: hb = 13.50880758158
Height: hc = 11.12442977306

Median: ma = 13.91104277432
Median: mb = 13.91104277432
Median: mc = 11.12442977306

Inradius: r = 4.2032512476
Circumradius: R = 8.81095448695

Vertex coordinates: A[17; 0] B[0; 0] C[8.5; 11.12442977306]
Centroid: CG[8.5; 3.70880992435]
Coordinates of the circumscribed circle: U[8.5; 2.31547528611]
Coordinates of the inscribed circle: I[8.5; 4.2032512476]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.3833198418° = 127°23' = 0.91883364295 rad
∠ B' = β' = 127.3833198418° = 127°23' = 0.91883364295 rad
∠ C' = γ' = 105.2343603164° = 105°14'1″ = 1.30549197946 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.