# 10 14 14 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 14   c = 14

Area: T = 65.38334841531
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 41.85496648553° = 41°50'59″ = 0.73304144426 rad
Angle ∠ B = β = 69.07551675724° = 69°4'31″ = 1.20655891055 rad
Angle ∠ C = γ = 69.07551675724° = 69°4'31″ = 1.20655891055 rad

Height: ha = 13.07766968306
Height: hb = 9.34404977362
Height: hc = 9.34404977362

Median: ma = 13.07766968306
Median: mb = 9.95498743711
Median: mc = 9.95498743711

Inradius: r = 3.44112360081
Circumradius: R = 7.49442473064

Vertex coordinates: A[14; 0] B[0; 0] C[3.57114285714; 9.34404977362]
Centroid: CG[5.85771428571; 3.11334992454]
Coordinates of the circumscribed circle: U[7; 2.67765168952]
Coordinates of the inscribed circle: I[5; 3.44112360081]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.1550335145° = 138°9'1″ = 0.73304144426 rad
∠ B' = β' = 110.9254832428° = 110°55'29″ = 1.20655891055 rad
∠ C' = γ' = 110.9254832428° = 110°55'29″ = 1.20655891055 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    