# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute isosceles triangle.

Sides: a = 5.09990195136   b = 5.09990195136   c = 3.74216573868

Area: T = 8.87441196746
Perimeter: p = 13.9439696414
Semiperimeter: s = 6.9769848207

Angle ∠ A = α = 68.47554600999° = 68°28'32″ = 1.19551222356 rad
Angle ∠ B = β = 68.47554600999° = 68°28'32″ = 1.19551222356 rad
Angle ∠ C = γ = 43.04990798002° = 43°2'57″ = 0.75113481825 rad

Height: ha = 3.48107161067
Height: hb = 3.48107161067
Height: hc = 4.74334164903

Median: ma = 3.67442346142
Median: mb = 3.67442346142
Median: mc = 4.74334164903

Inradius: r = 1.27332156298
Circumradius: R = 2.74106406388

Vertex coordinates: A[3; 4; 1] B[0; 6; 2] C[3; 5; 6]
Centroid: CG[2; 5; 3]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 111.52545399° = 111°31'28″ = 1.19551222356 rad
∠ B' = β' = 111.52545399° = 111°31'28″ = 1.19551222356 rad
∠ C' = γ' = 136.95109202° = 136°57'3″ = 0.75113481825 rad

# How did we calculate this triangle?

### 1. We compute side a from coordinates using the Pythagorean theorem ### 2. We compute side b from coordinates using the Pythagorean theorem ### 3. We compute side c from coordinates using the Pythagorean theorem 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines ### 9. Inradius ### 10. Circumradius ### 11. 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.