# Isosceles triangle calculator (c)

Please enter two properties of the isosceles triangle

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

You have entered side c and angle γ.

### Acute isosceles triangle.

Sides: a = 3.82879286376   b = 3.82879286376   c = 4.5

Area: T = 6.96879334724
Perimeter: p = 12.15658572752
Semiperimeter: s = 6.07879286376

Angle ∠ A = α = 54° = 0.94224777961 rad
Angle ∠ B = β = 54° = 0.94224777961 rad
Angle ∠ C = γ = 72° = 1.25766370614 rad

Height: ha = 3.64105764747
Height: hb = 3.64105764747
Height: hc = 3.09768593211

Median: ma = 3.71332545581
Median: mb = 3.71332545581
Median: mc = 3.09768593211

Inradius: r = 1.14664322614
Circumradius: R = 2.36657900045

Vertex coordinates: A[4.5; 0] B[0; 0] C[2.25; 3.09768593211]
Centroid: CG[2.25; 1.03222864404]
Coordinates of the circumscribed circle: U[2.25; 0.73110693165]
Coordinates of the inscribed circle: I[2.25; 1.14664322614]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126° = 0.94224777961 rad
∠ B' = β' = 126° = 0.94224777961 rad
∠ C' = γ' = 108° = 1.25766370614 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.