Question

If AB is the diameter of the circle with center X and C is a point on the circle such that AC = AX = 3, what is the perimeter of triangle ABC ?

Answer 1

Explanation:

The perimeter of a shape or plane figure is the distance round the shape. The diagram of the circle and the triangle ABC formed is shown in the attached photo.

To determine the length of AC, we would apply the Pythagoras theorem which is expressed as follows

Hypotenuse^2 = opposite ^2 + adjacent ^2

AC = hypotenuse

Opposite = 3

Adjacent = 3

AC^2 = 3^2 + 3^2 = 9 + 9 = 18

AC = √18 = 4.24

BX = AX = 3(they are both radii)

BC = AC = 4.24

The perimeter of triangle ABC would be

3 + 3 + 4.24 + 4.24 = 14.48