# Isosceles triangle calculator (p)

Please enter two properties of the isosceles triangle

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

You have entered perimeter p and angle γ.

### Right isosceles triangle.

Sides: a = 79.37440622984   b = 79.37440622984   c = 112.2521875403

Area: T = 3150.121088288
Perimeter: p = 271
Semiperimeter: s = 135.5

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 79.37440622984
Height: hb = 79.37440622984
Height: hc = 56.12659377016

Median: ma = 88.74328994748
Median: mb = 88.74328994748
Median: mc = 56.12659377016

Inradius: r = 23.24881245969
Circumradius: R = 56.12659377016

Vertex coordinates: A[112.2521875403; 0] B[0; 0] C[56.12659377016; 56.12659377016]
Centroid: CG[56.12659377016; 18.70986459005]
Coordinates of the circumscribed circle: U[56.12659377016; 0]
Coordinates of the inscribed circle: I[56.12659377016; 23.24881245969]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 90° = 1.57107963268 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.