# 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 = 137.091   b = 137.091   c = 102.818

Area: T = 6533.406575947
Perimeter: p = 377
Semiperimeter: s = 188.5

Angle ∠ A = α = 67.97657435179° = 67°58'33″ = 1.18664005359 rad
Angle ∠ B = β = 67.97657435179° = 67°58'33″ = 1.18664005359 rad
Angle ∠ C = γ = 44.04985129641° = 44°2'55″ = 0.76987915818 rad

Height: ha = 95.31548749294
Height: hb = 95.31548749294
Height: hc = 127.0876808914

Median: ma = 99.92112496532
Median: mb = 99.92112496532
Median: mc = 127.0876808914

Inradius: r = 34.66599775038
Circumradius: R = 73.94113572564

Vertex coordinates: A[102.818; 0] B[0; 0] C[51.409; 127.0876808914]
Centroid: CG[51.409; 42.36222696381]
Coordinates of the circumscribed circle: U[51.409; 53.14554516578]
Coordinates of the inscribed circle: I[51.409; 34.66599775038]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.0244256482° = 112°1'27″ = 1.18664005359 rad
∠ B' = β' = 112.0244256482° = 112°1'27″ = 1.18664005359 rad
∠ C' = γ' = 135.9511487036° = 135°57'5″ = 0.76987915818 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.