# 23 27 27 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 27   c = 27

Area: T = 280.9277370507
Perimeter: p = 77
Semiperimeter: s = 38.5

Angle ∠ A = α = 50.41985711742° = 50°25'7″ = 0.88799700711 rad
Angle ∠ B = β = 64.79107144129° = 64°47'27″ = 1.13108112912 rad
Angle ∠ C = γ = 64.79107144129° = 64°47'27″ = 1.13108112912 rad

Height: ha = 24.42884670006
Height: hb = 20.80994348524
Height: hc = 20.80994348524

Median: ma = 24.42884670006
Median: mb = 21.13664613878
Median: mc = 21.13664613878

Inradius: r = 7.29768148184
Circumradius: R = 14.92111164168

Vertex coordinates: A[27; 0] B[0; 0] C[9.79662962963; 20.80994348524]
Centroid: CG[12.26554320988; 6.93664782841]
Coordinates of the circumscribed circle: U[13.5; 6.35552903257]
Coordinates of the inscribed circle: I[11.5; 7.29768148184]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.5811428826° = 129°34'53″ = 0.88799700711 rad
∠ B' = β' = 115.2099285587° = 115°12'33″ = 1.13108112912 rad
∠ C' = γ' = 115.2099285587° = 115°12'33″ = 1.13108112912 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.