Given: triangleMLN, overline(ML)=13, overline(MN)=6, overline(NL)=10, triangleRQS, overline(RQ)=39, overline(RS)=18

illusiia 2021-08-17 Answered

Given:
\(\displaystyle\triangle{M}LN,\overline{{{M}{L}}}={13},\overline{{{M}{N}}}={6},\overline{{{N}{L}}}={10},\triangle{R}{Q}{S},\overline{{{R}{Q}}}={39},\overline{{{R}{S}}}={18},\overline{{{S}{Q}}}={30}\)
Find the scale factor from \(\displaystyle\triangle{M}LN\) to \(\displaystyle\triangle{R}{Q}{S}\).

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

Aamina Herring
Answered 2021-08-18 Author has 4980 answers
The scale factor from \(\displaystyle\triangle{M}{\ln{}}\) to \(\displaystyle\triangle{R}{Q}{S}\) is found by dividiing each of \(\displaystyle\triangle{R}{Q}{S}\) by the similar side in \(\displaystyle\triangle{R}{Q}{S}\).
\(\displaystyle\frac{\overline{{{R}{Q}}}}{\overline{{{M}{L}}}}=\frac{{39}}{{13}}={3}\)
The scale factor is 3. To verify, apply to other sides
\(\displaystyle\frac{\overline{{{R}{S}}}}{\overline{{{M}{N}}}}=\frac{{18}}{{6}}={3}\)
\(\displaystyle\frac{\overline{{{S}{Q}}}}{\overline{{{N}{L}}}}=\frac{{30}}{{10}}={3}\)
Have a similar question?
Ask An Expert
18
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-11-03
Given:
\(\displaystyle\triangle{M}{\ln},\overline{{{M}{L}}}={13},\overline{{{M}{N}}}={6},\overline{{{N}{L}}}={10},\triangle{R}{Q}{S},\overline{{{R}{Q}}}={39},\overline{{{R}{S}}}={18},\overline{{{S}{Q}}}={30}\)
Find the scale factor from \(\displaystyle\triangle{M}{\ln{}}\) to \(\displaystyle\triangle{R}{Q}{S}\).
asked 2021-08-04
Which side in the smallest triangle would correspond with \(\displaystyle\overline{{{R}{S}}}\) in the largest triangle?

\(\displaystyle\overline{{{R}{S}}}\)
\(\displaystyle\overline{{{R}{Q}}}\)
\(\displaystyle\overline{{{Q}{S}}}\)
None of the sides correspond with \(\displaystyle\overline{{{R}{S}}}\)
asked 2021-08-11
To Complete: the statement WZ=? and RS=? in the figure shown.
Given:
Figure is shown below.

RW=15, ZR=10 and ZS=8
asked 2021-01-10

To find: The values of KP, KM, MR, ML, MN and PR.
Given:
image
\(\displaystyle\overline{{{P}{R}}}{\mid}{\mid}\overline{{{K}{L}}}={9},{\ln{=}}{16},{P}{M}={2}{\left({K}{P}\right)}\)
KM=KP+PM=3KP

asked 2021-04-16
To prove: The similarity of \(\displaystyle\triangle{B}{C}{D}\) with respect to \(\displaystyle\triangle{F}{E}{D}\).
Given information: Here, we have given that \(\displaystyle\overline{{{A}{C}}}\stackrel{\sim}{=}\overline{{{A}{E}}}\ {\quad\text{and}\quad}\ \angle{C}{B}{D}\stackrel{\sim}{=}\angle{E}{F}{D}\)
asked 2021-08-14

Given: \(\displaystyle\overline{{{R}{S}}}\perp\overline{{{A}{B}}},\overline{{{C}{B}}}\perp\overline{{{A}{C}}}\)
Prove: \(\displaystyle\triangle{B}{S}{R}\sim\triangle{B}{C}{A}\)
image

asked 2021-08-09
Write a proof for the following:
Given \(\displaystyle\overline{{{A}{B}}}\stackrel{\sim}{=}\overline{{{D}{E}}}\) and C is the midpoint of both \(\displaystyle\overline{{{A}{B}}}\ {\quad\text{and}\quad}\ \overline{{{B}{E}}}\).
Prove: \(\displaystyle\triangle{A}{B}{C}\stackrel{\sim}{=}\triangle{D}{E}{C}\).
...