# 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 side b and height hc.

### Acute isosceles triangle.

Sides: a = 20.49656245331   b = 20.49656245331   c = 5.65

Area: T = 57.34775
Perimeter: p = 46.64112490661
Semiperimeter: s = 23.32106245331

Angle ∠ A = α = 82.07774543315° = 82°4'39″ = 1.43325218197 rad
Angle ∠ B = β = 82.07774543315° = 82°4'39″ = 1.43325218197 rad
Angle ∠ C = γ = 15.84550913371° = 15°50'42″ = 0.27765490141 rad

Height: ha = 5.596607246
Height: hb = 5.596607246
Height: hc = 20.3

Median: ma = 10.99990411514
Median: mb = 10.99990411514
Median: mc = 20.3

Inradius: r = 2.45990893747
Circumradius: R = 10.34765671182

Vertex coordinates: A[5.65; 0] B[0; 0] C[2.825; 20.3]
Centroid: CG[2.825; 6.76766666667]
Coordinates of the circumscribed circle: U[2.825; 9.95334328818]
Coordinates of the inscribed circle: I[2.825; 2.45990893747]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 97.92325456685° = 97°55'21″ = 1.43325218197 rad
∠ B' = β' = 97.92325456685° = 97°55'21″ = 1.43325218197 rad
∠ C' = γ' = 164.1554908663° = 164°9'18″ = 0.27765490141 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.