# 7 24 24 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 24   c = 24

Area: T = 83.10219704941
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 16.77110772942° = 16°46'16″ = 0.29327105179 rad
Angle ∠ B = β = 81.61444613529° = 81°36'52″ = 1.42444410679 rad
Angle ∠ C = γ = 81.61444613529° = 81°36'52″ = 1.42444410679 rad

Height: ha = 23.74334201412
Height: hb = 6.92551642078
Height: hc = 6.92551642078

Median: ma = 23.74334201412
Median: mb = 12.98107549857
Median: mc = 12.98107549857

Inradius: r = 3.02218898361
Circumradius: R = 12.13296762761

Vertex coordinates: A[24; 0] B[0; 0] C[1.02108333333; 6.92551642078]
Centroid: CG[8.34402777778; 2.30883880693]
Coordinates of the circumscribed circle: U[12; 1.76989111236]
Coordinates of the inscribed circle: I[3.5; 3.02218898361]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.2298922706° = 163°13'44″ = 0.29327105179 rad
∠ B' = β' = 98.38655386471° = 98°23'8″ = 1.42444410679 rad
∠ C' = γ' = 98.38655386471° = 98°23'8″ = 1.42444410679 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.