# Isosceles triangle calculator (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 and angle γ.

### Obtuse isosceles triangle.

Sides: a = 78.80993197013   b = 78.80993197013   c = 113.3811360598

Area: T = 3103.563267695
Perimeter: p = 271
Semiperimeter: s = 135.5

Angle ∠ A = α = 44° = 0.76879448709 rad
Angle ∠ B = β = 44° = 0.76879448709 rad
Angle ∠ C = γ = 92° = 1.60657029118 rad

Height: ha = 78.76113111931
Height: hb = 78.76113111931
Height: hc = 54.74655536007

Median: ma = 89.33330492226
Median: mb = 89.33330492226
Median: mc = 54.74655536007

Inradius: r = 22.90545216011
Circumradius: R = 56.72552357797

Vertex coordinates: A[113.3811360598; 0] B[0; 0] C[56.69106802987; 54.74655536007]
Centroid: CG[56.69106802987; 18.24985178669]
Coordinates of the circumscribed circle: U[56.69106802987; -1.9879682179]
Coordinates of the inscribed circle: I[56.69106802987; 22.90545216011]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136° = 0.76879448709 rad
∠ B' = β' = 136° = 0.76879448709 rad
∠ C' = γ' = 88° = 1.60657029118 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.