Question

Find the length of x and y

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Answer 1

y = 15/4 mm

x = 36/5 mm

Explanation:

In similarity triangles, the corresponding sides are in same ratio.

`\sf (3)/(y)=(4)/(5)\\\\\bf Cross \ multiply,\\\\ y*4 = 3*5\\\\ y =(15)/(4)\\\\\boxed{y = (15)/(4)}`

`\sf (x)/(9)=(4)/(5)\\\\x = (4)/(5)*9\\\\x = (36)/(5)\\\\\boxed{x = (36)/(5) \ mm}`