# 11 24 26 triangle

### Acute scalene triangle.

Sides: a = 11   b = 24   c = 26

Area: T = 131.896555527
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 25.00878332347° = 25°28″ = 0.43664690287 rad
Angle ∠ B = β = 67.27215774025° = 67°16'18″ = 1.17441105187 rad
Angle ∠ C = γ = 87.72105893628° = 87°43'14″ = 1.53110131062 rad

Height: ha = 23.98110100491
Height: hb = 10.99112962725
Height: hc = 10.14658119439

Median: ma = 24.40879904949
Median: mb = 15.95330561335
Median: mc = 13.3987761007

Inradius: r = 4.32444444351
Circumradius: R = 13.01102943688

Vertex coordinates: A[26; 0] B[0; 0] C[4.25; 10.14658119439]
Centroid: CG[10.08333333333; 3.38219373146]
Coordinates of the circumscribed circle: U[13; 0.51774548897]
Coordinates of the inscribed circle: I[6.5; 4.32444444351]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.9922166765° = 154°59'32″ = 0.43664690287 rad
∠ B' = β' = 112.7288422598° = 112°43'42″ = 1.17441105187 rad
∠ C' = γ' = 92.27994106372° = 92°16'46″ = 1.53110131062 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.