# 24 29 29 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 29   c = 29

Area: T = 316.8099090779
Perimeter: p = 82
Semiperimeter: s = 41

Angle ∠ A = α = 48.88766708554° = 48°53'12″ = 0.85332333668 rad
Angle ∠ B = β = 65.55766645723° = 65°33'24″ = 1.14441796434 rad
Angle ∠ C = γ = 65.55766645723° = 65°33'24″ = 1.14441796434 rad

Height: ha = 26.40107575649
Height: hb = 21.84989028123
Height: hc = 21.84989028123

Median: ma = 26.40107575649
Median: mb = 22.32215142855
Median: mc = 22.32215142855

Inradius: r = 7.72770509946
Circumradius: R = 15.92875732511

Vertex coordinates: A[29; 0] B[0; 0] C[9.93110344828; 21.84989028123]
Centroid: CG[12.97770114943; 7.28329676041]
Coordinates of the circumscribed circle: U[14.5; 6.5910719966]
Coordinates of the inscribed circle: I[12; 7.72770509946]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.1133329145° = 131°6'48″ = 0.85332333668 rad
∠ B' = β' = 114.4433335428° = 114°26'36″ = 1.14441796434 rad
∠ C' = γ' = 114.4433335428° = 114°26'36″ = 1.14441796434 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.