Question

The triangles below are similar. Find the values of x and y.2436512.r+1y18X= 56.875y=27Blank 1: Blank 2: 27

Answer 1

Since the triangles are similar, the corresponding sides must be proportional,

`(2x+1)/(51)=(y)/(36)`

Given that the value of 'y' is 27,

`y=7`

Substitute the value,

`\begin{gathered} (2x+1)/(51)=(7)/(36) \\ (2x+1)*36=7*51 \\ 72x+36=357 \\ 72x=357-36 \\ x=(321)/(72) \\ x=(107)/(24) \end{gathered}`

Thus, the value of 'x' is 107/24.