Question

XY bisects and is perpendicular to line segments AB and CD . AB = 96 inches, and line segment AP = 52 inches. What is the length of XY ?

Answer 1

@jim_thompson5910 can you help me please

Answer 2

you need to use the pythagorean theorem

Answer 3

AP is b^2 ?

Answer 4

making XY the c^2 ?

Answer 5

actually, im incorrect. sorry. do you see how ap=xp?

Answer 6

there's no pythagorean theorem.

Answer 7

both ap and xp are radii: they start from the center and end on the edge of the circle. so they are equal.

Answer 8

okay so what does that mean ?

Answer 9

do you know the length of ap? because then you will know the length of xp, and if you double the length of xp, you will have the length of xy.

Answer 10

ap is 52

Answer 11

@karatechopper can you help me please

Answer 12

whats AX ?

Answer 13

half of 96 ?

Answer 14

yes.

Answer 15

whats xp ?

Answer 16

xp is what you solve for.

Answer 17

I got 20 ?

Answer 18

correct. so you know that xp = 20. do you see that xy is double of xp?