# 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 area T and perimeter p.

### Obtuse isosceles triangle.

Sides: a = 6.4055053919   b = 6.4055053919   c = 12.19898921621

Area: T = 12
Perimeter: p = 25
Semiperimeter: s = 12.5

Angle ∠ A = α = 17.90219610843° = 17°54'7″ = 0.31224481635 rad
Angle ∠ B = β = 17.90219610843° = 17°54'7″ = 0.31224481635 rad
Angle ∠ C = γ = 144.1966077831° = 144°11'46″ = 2.51766963266 rad

Height: ha = 3.7477041056
Height: hb = 3.7477041056
Height: hc = 1.96988443245

Median: ma = 9.19552658682
Median: mb = 9.19552658682
Median: mc = 1.96988443245

Inradius: r = 0.96
Circumradius: R = 10.41884762588

Vertex coordinates: A[12.19898921621; 0] B[0; 0] C[6.0954946081; 1.96988443245]
Centroid: CG[6.0954946081; 0.65662814415]
Coordinates of the circumscribed circle: U[6.0954946081; -8.45496319343]
Coordinates of the inscribed circle: I[6.0954946081; 0.96]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.0988038916° = 162°5'53″ = 0.31224481635 rad
∠ B' = β' = 162.0988038916° = 162°5'53″ = 0.31224481635 rad
∠ C' = γ' = 35.80439221686° = 35°48'14″ = 2.51766963266 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.