# Isosceles triangle calculator (A,B,p)

Please enter two properties of the isosceles triangle

Use symbols: a, b, h, T, p, A, B, C, r, R

You have entered perimeter p, angle α and angle β.

### Acute isosceles triangle.

Sides: a = 8.39902216693   b = 8.39902216693   c = 4.06595566615

Area: T = 16.52444177346
Perimeter: p = 20.84
Semiperimeter: s = 10.42

Angle ∠ A = α = 76° = 1.32664502315 rad
Angle ∠ B = β = 76° = 1.32664502315 rad
Angle ∠ C = γ = 28° = 0.48986921906 rad

Height: ha = 3.93989704792
Height: hb = 3.93989704792
Height: hc = 8.14109962282

Median: ma = 5.08332032282
Median: mb = 5.08332032282
Median: mc = 8.14109962282

Inradius: r = 1.58658366348
Circumradius: R = 4.32435384028

Vertex coordinates: A[4.06595566615; 0] B[0; 0] C[2.03297783307; 8.14109962282]
Centroid: CG[2.03297783307; 2.71436654094]
Coordinates of the circumscribed circle: U[2.03297783307; 3.81774578254]
Coordinates of the inscribed circle: I[2.03297783307; 1.58658366348]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 104° = 1.32664502315 rad
∠ B' = β' = 104° = 1.32664502315 rad
∠ C' = γ' = 152° = 0.48986921906 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.