# 10 24 26 triangle

### Right scalene triangle.

Sides: a = 10   b = 24   c = 26

Area: T = 120
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 22.6219864948° = 22°37'11″ = 0.39547911197 rad
Angle ∠ B = β = 67.3880135052° = 67°22'49″ = 1.17660052071 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 24
Height: hb = 10
Height: hc = 9.23107692308

Median: ma = 24.51553013443
Median: mb = 15.62204993518
Median: mc = 13

Inradius: r = 4
Circumradius: R = 13

Vertex coordinates: A[26; 0] B[0; 0] C[3.84661538462; 9.23107692308]
Centroid: CG[9.94987179487; 3.07769230769]
Coordinates of the circumscribed circle: U[13; -0]
Coordinates of the inscribed circle: I[6; 4]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.3880135052° = 157°22'49″ = 0.39547911197 rad
∠ B' = β' = 112.6219864948° = 112°37'11″ = 1.17660052071 rad
∠ C' = γ' = 90° = 1.57107963268 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.