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

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

Answer 2

The correct option is 3.

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

`(2)/(3)=(4)/(6)=(6)/(x)`

`(2)/(3)=(2)/(3)=(6)/(x)`

`(2)/(3)=(6)/(x)`

Use cross multiplication.

`2* x=6* 3`

`2x=18`

Divide both sides by 2.

`x=(18)/(2)`

`x=9`

Therefore the correct option is 3.