The sides of a triangle have lengths 3, 5, and 7. In a similar triangle, the shortest side has length x-3, and the longest side has length x+5. Find the value of x.

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if two triangles are similar,their corresponding sides are propotional

corresponding side of 3 is x-3 and corresponding side of 7 has length x+5

so, 3/(x-3)= 7 /(x+5)

cross multiplying, 3(x+5) =7(x-3)

3x+15 = 7x -21

15+21 = 7x-3x

36=4x

x = 36/4

x=9...............................ANSWER

ANSWER IS

value of x = 9

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