# 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 = 46.545   b = 46.545   c = 34.909

Area: T = 753.1322338481
Perimeter: p = 127.999
Semiperimeter: s = 643.9995

Angle ∠ A = α = 67.97655211781° = 67°58'32″ = 1.18663966553 rad
Angle ∠ B = β = 67.97655211781° = 67°58'32″ = 1.18663966553 rad
Angle ∠ C = γ = 44.04989576438° = 44°2'56″ = 0.7698799343 rad

Height: ha = 32.36114711991
Height: hb = 32.36114711991
Height: hc = 43.14883192575

Median: ma = 33.92553356174
Median: mb = 33.92553356174
Median: mc = 43.14883192575

Inradius: r = 11.76877847246
Circumradius: R = 25.10545354985

Vertex coordinates: A[34.909; 0] B[0; 0] C[17.45545; 43.14883192575]
Centroid: CG[17.45545; 14.38327730858]
Coordinates of the circumscribed circle: U[17.45545; 18.04437837591]
Coordinates of the inscribed circle: I[17.45545; 11.76877847246]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.0244478822° = 112°1'28″ = 1.18663966553 rad
∠ B' = β' = 112.0244478822° = 112°1'28″ = 1.18663966553 rad
∠ C' = γ' = 135.9511042356° = 135°57'4″ = 0.7698799343 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.