Question

Use the following circle to solve for x

Answer 1

We know that the product of lengths of the same chord is equal to the product of the other chord intersecting it.. So;

`\purple{ \mathfrak{x * 6 = 12 * 5}}`

`\large \purple{ \mathfrak{x = (12 * 5)/(6)}}`

`\large \purple{ \mathfrak{x = \frac{ \cancel{12} * 5}{ \cancel6}}}`

`\large \purple{ \mathfrak{x = 2 * 5}}`

`\large \boxed{ \red{ \mathfrak{x =10}}}`