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The triangles are similar by the AA Similarly Postulate. Find the value of x.

The triangles are similar by the AA Similarly Postulate. Find the value of x.-example-1

2 Answers

4 votes
6/8 = 9/x
6x = 72
x = 12

answer
x = 12
User Dave Martin
by
5.5k points
4 votes

Answer: The value of x =12

Explanation:

Given : The triangles are similar by the AA Similarly Postulate.

We know that the corresponding sides of two similar triangles are proportional.

Then from the given figure , we have


(6)/(6+2)=(9)/(x)\\\\\Rightarrow(6)/(8)=(9)/(x)\\\\\Rightarrow\ x=(9*8)/(6)\\\\\Rightarrow\ x=12

Hence, the value of x =12

User Junayy
by
5.2k points