# 8 28 28 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 28   c = 28

Area: T = 110.8511251684
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 16.42664214035° = 16°25'35″ = 0.28766951378 rad
Angle ∠ B = β = 81.78767892983° = 81°47'12″ = 1.42774487579 rad
Angle ∠ C = γ = 81.78767892983° = 81°47'12″ = 1.42774487579 rad

Height: ha = 27.71328129211
Height: hb = 7.91879465489
Height: hc = 7.91879465489

Median: ma = 27.71328129211
Median: mb = 15.10996688705
Median: mc = 15.10996688705

Inradius: r = 3.46441016151
Circumradius: R = 14.14550815951

Vertex coordinates: A[28; 0] B[0; 0] C[1.14328571429; 7.91879465489]
Centroid: CG[9.71442857143; 2.63993155163]
Coordinates of the circumscribed circle: U[14; 2.02107259422]
Coordinates of the inscribed circle: I[4; 3.46441016151]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.5743578597° = 163°34'25″ = 0.28766951378 rad
∠ B' = β' = 98.21332107017° = 98°12'48″ = 1.42774487579 rad
∠ C' = γ' = 98.21332107017° = 98°12'48″ = 1.42774487579 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.