# Isosceles triangle calculator (b,h)

Please enter two properties of the isosceles triangle

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

You have entered side b and height hc.

### Acute isosceles triangle.

Sides: a = 111.8033398875   b = 111.8033398875   c = 100

Area: T = 5000
Perimeter: p = 323.607679775
Semiperimeter: s = 161.8033398875

Angle ∠ A = α = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ B = β = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 89.44327191
Height: hb = 89.44327191
Height: hc = 100

Median: ma = 90.13987818866
Median: mb = 90.13987818866
Median: mc = 100

Vertex coordinates: A[100; 0] B[0; 0] C[50; 100]
Centroid: CG[50; 33.33333333333]
Coordinates of the circumscribed circle: U[50; 37.5]
Coordinates of the inscribed circle: I[50; 30.90216994375]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ B' = β' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ C' = γ' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad

# How did we calculate this triangle?

### 4. From side a we calculate side b:

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.