chord AB is 3cm from the center of the circle, the radius of the circle = 5cm, calculate the length of the chord​

The lenght of the chord is 8 cm.

Step-by-step explanation:

The chord AB is 3 cm from the center of the circle. If we visualize the chord (in a horizontal position) and the radius of the circle (in a diagonal position) we can notice that both of them forms a triangle, with the following dimentions:          

b: is the base =?

s: is one side of the triangle = distance of the chord from the center of the circle = 3 cm

h: is the hipotenuse = radius of the circle = 5 cm

To find the base (or the ohter side of the triangle) we need to use Pitagoras:

The above value is the half of the chord AB, so:

Therefore, the lenght of the chord is 8 cm.

I hope it helps you!    

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