# Isosceles triangle calculator (a)

Please enter two properties of the isosceles triangle

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

You have entered side a and angle γ.

### Obtuse isosceles triangle.

Sides: a = 7.5   b = 7.5   c = 11.14771723822

Area: T = 27.97109283072
Perimeter: p = 26.14771723822
Semiperimeter: s = 13.07435861911

Angle ∠ A = α = 42° = 0.73330382858 rad
Angle ∠ B = β = 42° = 0.73330382858 rad
Angle ∠ C = γ = 96° = 1.67655160819 rad

Height: ha = 7.45989142153
Height: hb = 7.45989142153
Height: hc = 5.01884795477

Median: ma = 8.72988158452
Median: mb = 8.72988158452
Median: mc = 5.01884795477

Inradius: r = 2.13994992849
Circumradius: R = 5.6044287062

Vertex coordinates: A[11.14771723822; 0] B[0; 0] C[5.57435861911; 5.01884795477]
Centroid: CG[5.57435861911; 1.67328265159]
Coordinates of the circumscribed circle: U[5.57435861911; -0.58658075143]
Coordinates of the inscribed circle: I[5.57435861911; 2.13994992849]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138° = 0.73330382858 rad
∠ B' = β' = 138° = 0.73330382858 rad
∠ C' = γ' = 84° = 1.67655160819 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.