# 2 14 14 triangle

### Acute isosceles triangle.

Sides: a = 2   b = 14   c = 14

Area: T = 13.96442400438
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 8.19220875163° = 8°11'32″ = 0.14329788998 rad
Angle ∠ B = β = 85.90439562418° = 85°54'14″ = 1.49993068769 rad
Angle ∠ C = γ = 85.90439562418° = 85°54'14″ = 1.49993068769 rad

Height: ha = 13.96442400438
Height: hb = 1.99548914348
Height: hc = 1.99548914348

Median: ma = 13.96442400438
Median: mb = 7.14114284285
Median: mc = 7.14114284285

Inradius: r = 0.93109493363
Circumradius: R = 7.01879257656

Vertex coordinates: A[14; 0] B[0; 0] C[0.14328571429; 1.99548914348]
Centroid: CG[4.71442857143; 0.66549638116]
Coordinates of the circumscribed circle: U[7; 0.50112804118]
Coordinates of the inscribed circle: I[1; 0.93109493363]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.8087912484° = 171°48'28″ = 0.14329788998 rad
∠ B' = β' = 94.09660437582° = 94°5'46″ = 1.49993068769 rad
∠ C' = γ' = 94.09660437582° = 94°5'46″ = 1.49993068769 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    