# 24 24 26 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 24   c = 26

Area: T = 262.2655133024
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 57.20328317042° = 57°12'10″ = 0.99883777547 rad
Angle ∠ B = β = 57.20328317042° = 57°12'10″ = 0.99883777547 rad
Angle ∠ C = γ = 65.59443365916° = 65°35'40″ = 1.14548371442 rad

Height: ha = 21.8555427752
Height: hb = 21.8555427752
Height: hc = 20.17442410018

Median: ma = 21.95444984001
Median: mb = 21.95444984001
Median: mc = 20.17442410018

Inradius: r = 7.08882468385
Circumradius: R = 14.27656299964

Vertex coordinates: A[26; 0] B[0; 0] C[13; 20.17442410018]
Centroid: CG[13; 6.72547470006]
Coordinates of the circumscribed circle: U[13; 5.89986110054]
Coordinates of the inscribed circle: I[13; 7.08882468385]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.7977168296° = 122°47'50″ = 0.99883777547 rad
∠ B' = β' = 122.7977168296° = 122°47'50″ = 0.99883777547 rad
∠ C' = γ' = 114.4065663408° = 114°24'20″ = 1.14548371442 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.