Question

In the adjoining figure seg XY ||seg AC. If 3AX = 2ZX and XY = 9 then find the length of AC.

plz solve this question.
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Answer 1

Answer:

Step-by-step explanation:

2AX = 3BX

THEREFORE

AX/BX = 3/2

AX+BX/BX=3+2/2

(BY COMPONENDO)

AB/BX=5/2.........(1)

TRIANGLE BCA IS SIMILAR TO TRIANGLE BYX ...AA TEST

THEREFORE

BA/BX=AC/XY......(CORRESPONDING SIDES OF SIMILAR TRIANGLES )

THEREFORE

5/2 = AC/9

THEREFORE

AC=22.5

HENCE THIS IS YOUR ANSWER .

PLEASE MARK BRAINLIEST