# Isosceles triangle calculator (B,h)

Please enter two properties of the isosceles triangle

Use symbols: a, b, h, T, p, A, B, C, r, R

You have entered height hc and angle β.

### Acute isosceles triangle.

Sides: a = 50.47701867634   b = 50.47701867634   c = 31.19222908384

Area: T = 748.6154980121
Perimeter: p = 132.1332664365
Semiperimeter: s = 66.06663321826

Angle ∠ A = α = 72° = 1.25766370614 rad
Angle ∠ B = β = 72° = 1.25766370614 rad
Angle ∠ C = γ = 36° = 0.62883185307 rad

Height: ha = 29.666563146
Height: hb = 29.666563146
Height: hc = 48

Median: ma = 33.51655104669
Median: mb = 33.51655104669
Median: mc = 48

Inradius: r = 11.331126292
Circumradius: R = 26.5343747416

Vertex coordinates: A[31.19222908384; 0] B[0; 0] C[15.59661454192; 48]
Centroid: CG[15.59661454192; 16]
Coordinates of the circumscribed circle: U[15.59661454192; 21.4666252584]
Coordinates of the inscribed circle: I[15.59661454192; 11.331126292]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108° = 1.25766370614 rad
∠ B' = β' = 108° = 1.25766370614 rad
∠ C' = γ' = 144° = 0.62883185307 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.