Question

write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.​

Answer 1

its 2/3

Explanation:

Answer 2

C.
`(14)/(21) = (18)/(27) =(2)/(3)`

Explanation:

The given triangles are similar.

If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.

From the given figure, we are given two corresponding sides of each triangle.

We know the corresponding sides are proportion.

Let's form the proportion using the corresponding sides.

14 corresponds to 18

21 corresponds to 27

Therefore,
`(14)/(21) = (18)/(27)`

We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.

`(14)/(21)  = (2)/(3)`

Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.

`(18)/(27) = (2)/(3)`

Therefore, answer is C.
`(14)/(21) = (18)/(27) = (2)/(3)`