Question

Find the missing side length

Answer 1

Answer:

Missing side length = 54

Step-by-step explanation:

If both the triangles given in the picture are similar their corresponding sides will be proportional.

By applying this rule in the given similar triangles,

$\frac{35}{30}=\frac{49}{42}=\frac{63}{6x-6}$

$\frac{7}{6}=\frac{7}{6}= \frac{63}{6x-6}$

$\frac{7}{6}= \frac{63}{6x-6}$

$\frac{1}{6}= \frac{9}{6x-6}$

$\frac{1}{6}= \frac{9}{6(x-1)}$

$1=\frac{9}{x-1}$

$x-1=9$

$x=10$

Therefore, missing side length = $6x-6$

= $6(x-1)$

= $6(10-1)$

= $6\times 9$

= $54$