Question

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank. a. StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction b. StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction c. StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction d. StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction

Answer 1

The answer to your problem is, C

Explanation:

If triangle ABC is similar to triangle PQR, then the ratio of the corresponding sides are proportional so:

`(PQ)/(AB) = (QR)/(BC)`

Substitute our values

`(12)/(16) = (18)/(24) = (3)/(4)`

Thus the answer to your problem is, C