# 3 24 24 triangle

### Acute isosceles triangle.

Sides: a = 3   b = 24   c = 24

Area: T = 35.9329618701
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 7.16766433969° = 7°10' = 0.12550815236 rad
Angle ∠ B = β = 86.41766783015° = 86°25' = 1.5088255565 rad
Angle ∠ C = γ = 86.41766783015° = 86°25' = 1.5088255565 rad

Height: ha = 23.9533079134
Height: hb = 2.99441348918
Height: hc = 2.99441348918

Median: ma = 23.9533079134
Median: mb = 12.1866057607
Median: mc = 12.1866057607

Inradius: r = 1.40990046549
Circumradius: R = 12.02435063888

Vertex coordinates: A[24; 0] B[0; 0] C[0.18875; 2.99441348918]
Centroid: CG[8.06325; 0.99880449639]
Coordinates of the circumscribed circle: U[12; 0.75114691493]
Coordinates of the inscribed circle: I[1.5; 1.40990046549]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.8333356603° = 172°50' = 0.12550815236 rad
∠ B' = β' = 93.58333216985° = 93°35' = 1.5088255565 rad
∠ C' = γ' = 93.58333216985° = 93°35' = 1.5088255565 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.