# 23 23 28 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 23   c = 28

Area: T = 255.4766026273
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 52.50547502354° = 52°30'17″ = 0.91663807645 rad
Angle ∠ B = β = 52.50547502354° = 52°30'17″ = 0.91663807645 rad
Angle ∠ C = γ = 74.99904995291° = 74°59'26″ = 1.30988311245 rad

Height: ha = 22.21553066324
Height: hb = 22.21553066324
Height: hc = 18.24882875909

Median: ma = 22.89765062837
Median: mb = 22.89765062837
Median: mc = 18.24882875909

Inradius: r = 6.90547574668
Circumradius: R = 14.49545107141

Vertex coordinates: A[28; 0] B[0; 0] C[14; 18.24882875909]
Centroid: CG[14; 6.08327625303]
Coordinates of the circumscribed circle: U[14; 3.75437768768]
Coordinates of the inscribed circle: I[14; 6.90547574668]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.4955249765° = 127°29'43″ = 0.91663807645 rad
∠ B' = β' = 127.4955249765° = 127°29'43″ = 0.91663807645 rad
∠ C' = γ' = 105.0109500471° = 105°34″ = 1.30988311245 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.