# 14 14 15 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 14   c = 15

Area: T = 88.66219281315
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 57.60876345142° = 57°36'27″ = 1.00554428966 rad
Angle ∠ B = β = 57.60876345142° = 57°36'27″ = 1.00554428966 rad
Angle ∠ C = γ = 64.78547309717° = 64°47'5″ = 1.13107068605 rad

Height: ha = 12.66659897331
Height: hb = 12.66659897331
Height: hc = 11.82215904175

Median: ma = 12.70882650271
Median: mb = 12.70882650271
Median: mc = 11.82215904175

Inradius: r = 4.12438106108
Circumradius: R = 8.2989916715

Vertex coordinates: A[15; 0] B[0; 0] C[7.5; 11.82215904175]
Centroid: CG[7.5; 3.94105301392]
Coordinates of the circumscribed circle: U[7.5; 3.53216737026]
Coordinates of the inscribed circle: I[7.5; 4.12438106108]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.3922365486° = 122°23'33″ = 1.00554428966 rad
∠ B' = β' = 122.3922365486° = 122°23'33″ = 1.00554428966 rad
∠ C' = γ' = 115.2155269028° = 115°12'55″ = 1.13107068605 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.