SOLUTION: https://media.discordapp.net/attachments/723023718497910816/849268621393920010/unknown.png?width=399&height=133

Algebra ->  Surface-area -> SOLUTION: https://media.discordapp.net/attachments/723023718497910816/849268621393920010/unknown.png?width=399&height=133      Log On


   



Question 1181241: https://media.discordapp.net/attachments/723023718497910816/849268621393920010/unknown.png?width=399&height=133
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

By the secant-secant product theorem:
(whole_1)(outerPortion_1) = (whole_2)(outerPortion_2)
AC*YC = BC*XC
Let d = XC to make the work more clear:
Therefore, (32+3)(3) = (16+d)(d)
+d%5E2+%2B+16d+-+105+=+0+
+%28d-5%29%28d%2B16%29+=+0
d = 5 --> BC = 21 --> AB = +sqrt%2835%5E2+-+21%5E2%29+=+sqrt%28784%29+=+28+
Area = %281%2F2%29%28BC%29%28AB%29+ = +%281%2F2%29%2821%29%2828%29+=+highlight%28294%29+ sq units