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,

$\frac{2x+1}{51}=\frac{y}{36}$

Given that the value of 'y' is 27,

$y=7$

Substitute the value,

$\begin{gathered} \frac{2x+1}{51}=\frac{7}{36} \\ (2x+1)\times36=7\times51 \\ 72x+36=357 \\ 72x=357-36 \\ x=\frac{321}{72} \\ x=\frac{107}{24} \end{gathered}$

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