# Isosceles triangle calculator (a)

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 perimeter p.

### Acute isosceles triangle.

Sides: a = 94   b = 94   c = 122

Area: T = 4362.673291921
Perimeter: p = 310
Semiperimeter: s = 155

Angle ∠ A = α = 49.53985583927° = 49°32'19″ = 0.86546109506 rad
Angle ∠ B = β = 49.53985583927° = 49°32'19″ = 0.86546109506 rad
Angle ∠ C = γ = 80.92328832147° = 80°55'22″ = 1.41223707523 rad

Height: ha = 92.82328280683
Height: hb = 92.82328280683
Height: hc = 71.51992281838

Median: ma = 98.24395032561
Median: mb = 98.24395032561
Median: mc = 71.51992281838

Inradius: r = 28.14662768981
Circumradius: R = 61.77435972856

Vertex coordinates: A[122; 0] B[0; 0] C[61; 71.51992281838]
Centroid: CG[61; 23.84397427279]
Coordinates of the circumscribed circle: U[61; 9.74656308982]
Coordinates of the inscribed circle: I[61; 28.14662768981]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.4611441607° = 130°27'41″ = 0.86546109506 rad
∠ B' = β' = 130.4611441607° = 130°27'41″ = 0.86546109506 rad
∠ C' = γ' = 99.07771167853° = 99°4'38″ = 1.41223707523 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.