Mathematics

Problem

\triangle MNP

is similar to

\triangle RST

. The median from

N

MP

7\,\text{cm}

and the corresponding median from

S

RT

4.2\,\text{cm}

. If

MN = 12.6\,\text{cm}

and

NP = 10.8\,\text{cm}

, answer the following: a. (i) Determine the scale factor from

\triangle RST

\triangle MNP

. b. (ii) Find the lengths of

RS

and

ST

. c. (iii) Compute the ratio of the areas of the two triangles.