# 11 24 24 triangle

### Acute isosceles triangle.

Sides: a = 11   b = 24   c = 24

Area: T = 128.4877110248
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 26.49660298114° = 26°29'46″ = 0.46224429589 rad
Angle ∠ B = β = 76.75219850943° = 76°45'7″ = 1.34395748473 rad
Angle ∠ C = γ = 76.75219850943° = 76°45'7″ = 1.34395748473 rad

Height: ha = 23.36112927724
Height: hb = 10.70772591874
Height: hc = 10.70772591874

Median: ma = 23.36112927724
Median: mb = 14.33003496461
Median: mc = 14.33003496461

Inradius: r = 4.35554952627
Circumradius: R = 12.32880848712

Vertex coordinates: A[24; 0] B[0; 0] C[2.52108333333; 10.70772591874]
Centroid: CG[8.84402777778; 3.56990863958]
Coordinates of the circumscribed circle: U[12; 2.82551861163]
Coordinates of the inscribed circle: I[5.5; 4.35554952627]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.5043970189° = 153°30'14″ = 0.46224429589 rad
∠ B' = β' = 103.2488014906° = 103°14'53″ = 1.34395748473 rad
∠ C' = γ' = 103.2488014906° = 103°14'53″ = 1.34395748473 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.