# 7 23 23 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 23   c = 23

Area: T = 79.56224754517
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 17.50658581538° = 17°30'21″ = 0.30655348632 rad
Angle ∠ B = β = 81.24770709231° = 81°14'49″ = 1.41880288952 rad
Angle ∠ C = γ = 81.24770709231° = 81°14'49″ = 1.41880288952 rad

Height: ha = 22.73221358433
Height: hb = 6.91884761262
Height: hc = 6.91884761262

Median: ma = 22.73221358433
Median: mb = 12.52199840255
Median: mc = 12.52199840255

Inradius: r = 3.00223575642
Circumradius: R = 11.63655102672

Vertex coordinates: A[23; 0] B[0; 0] C[1.06552173913; 6.91884761262]
Centroid: CG[8.02217391304; 2.30661587087]
Coordinates of the circumscribed circle: U[11.5; 1.77106211276]
Coordinates of the inscribed circle: I[3.5; 3.00223575642]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.4944141846° = 162°29'39″ = 0.30655348632 rad
∠ B' = β' = 98.75329290769° = 98°45'11″ = 1.41880288952 rad
∠ C' = γ' = 98.75329290769° = 98°45'11″ = 1.41880288952 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.