# 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 angle γ.

### Obtuse isosceles triangle.

Sides: a = 5.5   b = 5.5   c = 8.04548907178

Area: T = 15.08881562602
Perimeter: p = 19.04548907178
Semiperimeter: s = 9.52224453589

Angle ∠ A = α = 43° = 0.75504915784 rad
Angle ∠ B = β = 43° = 0.75504915784 rad
Angle ∠ C = γ = 94° = 1.64106094969 rad

Height: ha = 5.48766022764
Height: hb = 5.48766022764
Height: hc = 3.75109909803

Median: ma = 6.31884359877
Median: mb = 6.31884359877
Median: mc = 3.75109909803

Inradius: r = 1.58444833645
Circumradius: R = 4.03222677605

Vertex coordinates: A[8.04548907178; 0] B[0; 0] C[4.02224453589; 3.75109909803]
Centroid: CG[4.02224453589; 1.25503303268]
Coordinates of the circumscribed circle: U[4.02224453589; -0.28112767802]
Coordinates of the inscribed circle: I[4.02224453589; 1.58444833645]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137° = 0.75504915784 rad
∠ B' = β' = 137° = 0.75504915784 rad
∠ C' = γ' = 86° = 1.64106094969 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.