# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Acute isosceles triangle.

Sides: a = 3.7   b = 3.7   c = 2.53109490606

Area: T = 4.43998811883
Perimeter: p = 9.93109490606
Semiperimeter: s = 4.96554745303

Angle ∠ A = α = 70° = 1.22217304764 rad
Angle ∠ B = β = 70° = 1.22217304764 rad
Angle ∠ C = γ = 40° = 0.69881317008 rad

Height: ha = 2.37883141558
Height: hb = 2.37883141558
Height: hc = 3.47768626969

Median: ma = 2.57439758301
Median: mb = 2.57439758301
Median: mc = 3.47768626969

Inradius: r = 0.88660948055
Circumradius: R = 1.96987288791

Vertex coordinates: A[2.53109490606; 0] B[0; 0] C[1.26554745303; 3.47768626969]
Centroid: CG[1.26554745303; 1.15989542323]
Coordinates of the circumscribed circle: U[1.26554745303; 1.50881338178]
Coordinates of the inscribed circle: I[1.26554745303; 0.88660948055]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 110° = 1.22217304764 rad
∠ B' = β' = 110° = 1.22217304764 rad
∠ C' = γ' = 140° = 0.69881317008 rad

# How did we calculate this triangle?

### 1. Use Law of Cosines  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. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    