# Isosceles triangle calculator (b,h) - result

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 = 4.07770700264   b = 4.07770700264   c = 4.5

Area: T = 7.65
Perimeter: p = 12.65441400528
Semiperimeter: s = 6.32770700264

Angle ∠ A = α = 56.50548153263° = 56°30'17″ = 0.98661950707 rad
Angle ∠ B = β = 56.50548153263° = 56°30'17″ = 0.98661950707 rad
Angle ∠ C = γ = 66.99903693475° = 66°59'25″ = 1.16992025122 rad

Height: ha = 3.75326949258
Height: hb = 3.75326949258
Height: hc = 3.4

Median: ma = 3.77989714209
Median: mb = 3.77989714209
Median: mc = 3.4

Inradius: r = 1.20990904586
Circumradius: R = 2.44444852941

Vertex coordinates: A[4.5; 0] B[0; 0] C[2.25; 3.4]
Centroid: CG[2.25; 1.13333333333]
Coordinates of the circumscribed circle: U[2.25; 0.95655147059]
Coordinates of the inscribed circle: I[2.25; 1.20990904586]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.4955184674° = 123°29'43″ = 0.98661950707 rad
∠ B' = β' = 123.4955184674° = 123°29'43″ = 0.98661950707 rad
∠ C' = γ' = 113.0109630653° = 113°35″ = 1.16992025122 rad

# How did we calculate this triangle?

### 1. Input data entered: side b and height hc ### 2. From height h we calculate side a - Pythagorean theorem: ### 3. From side a we calculate perimeter p: ### 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. ### 5. The triangle circumference is the sum of the lengths of its three sides ### 6. Semiperimeter of the triangle ### 7. The triangle area using Heron's formula ### 8. Calculate the heights of the triangle from its area. ### 9. Calculation of the inner angles of the triangle using a Law of Cosines    