Question

If the sides of one triangle are lengths 2, 4 and 6 and another triangle has sides of lengths 3, 6 and_______, then the triangles are similar.
8
12
9
18

Answer 1

Answer:

The correct option is 3.

Step-by-step explanation:

The corresponding sides of similar triangles are similar.

It is given that two triangles are similar. One triangle are lengths 2, 4 and 6 and another triangle has sides of lengths 3, 6 and x.

Since the corresponding sides of similar triangles are proportional, therefore

$\frac{2}{3}=\frac{4}{6}=\frac{6}{x}$

$\frac{2}{3}=\frac{2}{3}=\frac{6}{x}$

$\frac{2}{3}=\frac{6}{x}$

Use cross multiplication.

$2\times x=6\times 3$

$2x=18$

Divide both sides by 2.

$x=\frac{18}{2}$

$x=9$

Therefore the correct option is 3.

Answer 2

The answer is 9 because 2 divided by 3 equals 2/3, 4 divided by 6 equals 2/3, and finally, 6 divided by 9 equals 2/3