# Isosceles triangle calculator (a,b)

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 b.

### Acute isosceles triangle.

Sides: a = 112.727   b = 112.727   c = 84.545

Area: T = 4417.509907129
Perimeter: p = 309.999
Semiperimeter: s = 1554.9995

Angle ∠ A = α = 67.97657556981° = 67°58'33″ = 1.18664007485 rad
Angle ∠ B = β = 67.97657556981° = 67°58'33″ = 1.18664007485 rad
Angle ∠ C = γ = 44.04884886038° = 44°2'55″ = 0.76987911567 rad

Height: ha = 78.375535056
Height: hb = 78.375535056
Height: hc = 104.5010776422

Median: ma = 82.16330856574
Median: mb = 82.16330856574
Median: mc = 104.5010776422

Inradius: r = 28.55001504604
Circumradius: R = 60.88003928971

Vertex coordinates: A[84.545; 0] B[0; 0] C[42.27325; 104.5010776422]
Centroid: CG[42.27325; 34.83435921406]
Coordinates of the circumscribed circle: U[42.27325; 43.77003835246]
Coordinates of the inscribed circle: I[42.27325; 28.55001504604]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.0244244302° = 112°1'27″ = 1.18664007485 rad
∠ B' = β' = 112.0244244302° = 112°1'27″ = 1.18664007485 rad
∠ C' = γ' = 135.9521511396° = 135°57'5″ = 0.76987911567 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.