Question

Circle a and circle b are congruent cd is a chord of both circles. id cd= 16 cm and the radius is 17 cm how long is ab

Answer 1

Options?

Answer 2

@TangerineSkyys

Answer 3

the line from the centre to the chord is a perpendicular bisector of the chord...

so half cd is 8

use pythagoras' theorem to find the length from A to the chord

\[AC^2 = 17^2 - 8^2\]

then double the answer since the circles are congruent

hope it helps

Answer 4

oops... let E be the intersection of cd and AB

I ment to say

\[AE^2 = 17^2 - 8^2\]

then double the answer

Answer 5

17^2 = 8^2 + x^2

289 = 64 + x^2

Subtract 64 from both sides

Find square root of result.

Double the value of x to get the length of AB.

@TangerineSkyys

Answer 6

so would the answer be 30?

Answer 7

@Directrix

Answer 8

>so would the answer be 30?

Correct.

Answer 9

Thank you so much!