In the adjoining figure, seg XY || seg AC, If 2AX = 2ZX and XY = 9. then find the length of AC.
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Answer:
18 units
Step-by-step explanation:
Given, XY || AC, XY= 9 and 2AX=2ZX=> AX=ZX
AX/ZX= 1 (Since AX=ZX)
(AX/ZX)+1= 1+1
AZ/ZX=2/1
ZX/AZ=1/2
By Thales theorem, (Since XY || AC)
ZX/AZ=XY/AC
1/2=XY/AC
1/2=9/AC
AC=9×2= 18 units
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