# 8 10 10 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 10   c = 10

Area: T = 36.66106055596
Perimeter: p = 28
Semiperimeter: s = 14

Angle ∠ A = α = 47.15663569564° = 47°9'23″ = 0.82330336921 rad
Angle ∠ B = β = 66.42218215218° = 66°25'19″ = 1.15992794807 rad
Angle ∠ C = γ = 66.42218215218° = 66°25'19″ = 1.15992794807 rad

Height: ha = 9.16551513899
Height: hb = 7.33221211119
Height: hc = 7.33221211119

Median: ma = 9.16551513899
Median: mb = 7.55498344353
Median: mc = 7.55498344353

Inradius: r = 2.61986146828
Circumradius: R = 5.45554472559

Vertex coordinates: A[10; 0] B[0; 0] C[3.2; 7.33221211119]
Centroid: CG[4.4; 2.44440403706]
Coordinates of the circumscribed circle: U[5; 2.18221789024]
Coordinates of the inscribed circle: I[4; 2.61986146828]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.8443643044° = 132°50'37″ = 0.82330336921 rad
∠ B' = β' = 113.5788178478° = 113°34'41″ = 1.15992794807 rad
∠ C' = γ' = 113.5788178478° = 113°34'41″ = 1.15992794807 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.