# 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 = 60.727   b = 60.727   c = 45.545

Area: T = 1281.989896075
Perimeter: p = 166.999
Semiperimeter: s = 83.54995

Angle ∠ A = α = 67.97658143841° = 67°58'33″ = 1.18664017727 rad
Angle ∠ B = β = 67.97658143841° = 67°58'33″ = 1.18664017727 rad
Angle ∠ C = γ = 44.04883712318° = 44°2'54″ = 0.76987891081 rad

Height: ha = 42.22113829353
Height: hb = 42.22113829353
Height: hc = 56.29554862556

Median: ma = 44.2621898341
Median: mb = 44.2621898341
Median: mc = 56.29554862556

Inradius: r = 15.35332531423
Circumradius: R = 32.75436786187

Vertex coordinates: A[45.545; 0] B[0; 0] C[22.77325; 56.29554862556]
Centroid: CG[22.77325; 18.76551620852]
Coordinates of the circumscribed circle: U[22.77325; 23.54218076368]
Coordinates of the inscribed circle: I[22.77325; 15.35332531423]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.0244185616° = 112°1'27″ = 1.18664017727 rad
∠ B' = β' = 112.0244185616° = 112°1'27″ = 1.18664017727 rad
∠ C' = γ' = 135.9521628768° = 135°57'6″ = 0.76987891081 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.