# 15 16 16 triangle

### Acute isosceles triangle.

Sides: a = 15   b = 16   c = 16

Area: T = 1065.999705188
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 55.90663737668° = 55°54'23″ = 0.97657502951 rad
Angle ∠ B = β = 62.04768131166° = 62°2'49″ = 1.08329211793 rad
Angle ∠ C = γ = 62.04768131166° = 62°2'49″ = 1.08329211793 rad

Height: ha = 14.13332940251
Height: hb = 13.25499631485
Height: hc = 13.25499631485

Median: ma = 14.13332940251
Median: mb = 13.28553302556
Median: mc = 13.28553302556

Inradius: r = 4.51106257527
Circumradius: R = 9.05766289623

Vertex coordinates: A[16; 0] B[0; 0] C[7.031125; 13.25499631485]
Centroid: CG[7.67770833333; 4.41766543828]
Coordinates of the circumscribed circle: U[8; 4.24552948261]
Coordinates of the inscribed circle: I[7.5; 4.51106257527]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.0943626233° = 124°5'37″ = 0.97657502951 rad
∠ B' = β' = 117.9533186883° = 117°57'11″ = 1.08329211793 rad
∠ C' = γ' = 117.9533186883° = 117°57'11″ = 1.08329211793 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.