# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right isosceles triangle.

Sides: a = 5.83109518948   b = 4.12331056256   c = 4.12331056256

Area: T = 8.5
Perimeter: p = 14.07771631461
Semiperimeter: s = 7.0398581573

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 2.91554759474
Height: hb = 4.12331056256
Height: hc = 4.12331056256

Median: ma = 2.91554759474
Median: mb = 4.61097722286
Median: mc = 4.61097722286

Inradius: r = 1.20876296782
Circumradius: R = 2.91554759474

Vertex coordinates: A[0; 4] B[4; 5] C[1; 0]
Centroid: CG[1.66766666667; 3]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.20876296782; 1.20876296782]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 135° = 0.78553981634 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.