# 10 27 27 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 27   c = 27

Area: T = 132.6654991614
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 21.34438585715° = 21°20'38″ = 0.37325206072 rad
Angle ∠ B = β = 79.32880707142° = 79°19'41″ = 1.38545360232 rad
Angle ∠ C = γ = 79.32880707142° = 79°19'41″ = 1.38545360232 rad

Height: ha = 26.53329983228
Height: hb = 9.82770364159
Height: hc = 9.82770364159

Median: ma = 26.53329983228
Median: mb = 15.24397506541
Median: mc = 15.24397506541

Inradius: r = 4.14657809879
Circumradius: R = 13.73876106373

Vertex coordinates: A[27; 0] B[0; 0] C[1.85218518519; 9.82770364159]
Centroid: CG[9.61772839506; 3.27656788053]
Coordinates of the circumscribed circle: U[13.5; 2.54440019699]
Coordinates of the inscribed circle: I[5; 4.14657809879]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.6566141428° = 158°39'22″ = 0.37325206072 rad
∠ B' = β' = 100.6721929286° = 100°40'19″ = 1.38545360232 rad
∠ C' = γ' = 100.6721929286° = 100°40'19″ = 1.38545360232 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.