# 10 24 24 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 24   c = 24

Area: T = 117.3676945943
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 24.04993983611° = 24°2'58″ = 0.42197411845 rad
Angle ∠ B = β = 77.97553008194° = 77°58'31″ = 1.36109257345 rad
Angle ∠ C = γ = 77.97553008194° = 77°58'31″ = 1.36109257345 rad

Height: ha = 23.47333891886
Height: hb = 9.78105788286
Height: hc = 9.78105788286

Median: ma = 23.47333891886
Median: mb = 13.92883882772
Median: mc = 13.92883882772

Inradius: r = 4.0477136067
Circumradius: R = 12.26992124979

Vertex coordinates: A[24; 0] B[0; 0] C[2.08333333333; 9.78105788286]
Centroid: CG[8.69444444444; 3.26601929429]
Coordinates of the circumscribed circle: U[12; 2.55660859371]
Coordinates of the inscribed circle: I[5; 4.0477136067]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.9510601639° = 155°57'2″ = 0.42197411845 rad
∠ B' = β' = 102.0254699181° = 102°1'29″ = 1.36109257345 rad
∠ C' = γ' = 102.0254699181° = 102°1'29″ = 1.36109257345 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.