Question

AB and CD are common external tangents of R and S AB =15 SD=12 and SX=20 what is the measure of CX?​

Answer 1

31

Explanation:

In circle S: XB and XD are tangents at B and D

then SB perpendicular to AX and SD perpendicular to XC

In triangle SDX: SD = 12 and SX =20 by using Pythagoras Theorem

`XD=\sqrt{20^(2) -12^(2) }=16`

XD = XB tangents to circle S from point X

XA = XC tangents to circle R from point X

then BA = DC = 15

then XC = XD + DC = 16 + 15 = 31