# Isosceles triangle calculator (A,B,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 b, angle α, angle β and angle γ.

### Obtuse isosceles triangle.

Sides: a = 20.50657051246   b = 20.50657051246   c = 34

Area: T = 194.9332961368
Perimeter: p = 75.01114102491
Semiperimeter: s = 37.50657051246

Angle ∠ A = α = 34° = 0.59334119457 rad
Angle ∠ B = β = 34° = 0.59334119457 rad
Angle ∠ C = γ = 112° = 1.95547687622 rad

Height: ha = 19.0132558718
Height: hb = 19.0132558718
Height: hc = 11.46766447863

Median: ma = 26.13765832821
Median: mb = 26.13765832821
Median: mc = 11.46766447863

Inradius: r = 5.19774215848
Circumradius: R = 18.33550906255

Vertex coordinates: A[34; 0] B[0; 0] C[17; 11.46766447863]
Centroid: CG[17; 3.82222149288]
Coordinates of the circumscribed circle: U[17; -6.86884458392]
Coordinates of the inscribed circle: I[17; 5.19774215848]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146° = 0.59334119457 rad
∠ B' = β' = 146° = 0.59334119457 rad
∠ C' = γ' = 68° = 1.95547687622 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.