# 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 = 7.61552236891   b = 7.61552236891   c = 10.77695526217

Area: T = 28.99658159179
Perimeter: p = 26
Semiperimeter: s = 13

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

Height: ha = 7.61552236891
Height: hb = 7.61552236891
Height: hc = 5.38547763109

Median: ma = 8.51440789164
Median: mb = 8.51440789164
Median: mc = 5.38547763109

Inradius: r = 2.23304473783
Circumradius: R = 5.38547763109

Vertex coordinates: A[10.77695526217; 0] B[0; 0] C[5.38547763109; 5.38547763109]
Centroid: CG[5.38547763109; 1.7954925437]
Coordinates of the circumscribed circle: U[5.38547763109; 0]
Coordinates of the inscribed circle: I[5.38547763109; 2.23304473783]

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.