1.

In the adjoining figure, seg XY || seg AC, If 2AX = 2ZX and XY = 9. then find the length of AC. ​

Answer»

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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