Given: triangleMln, overline(ML)=13, overline(MN)=6, overline(NL)=10, tri

Nann 2021-11-03 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 \(\displaystyle\triangle{R}{Q}{S}\).

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Expert Answer

Jozlyn
Answered 2021-11-04 Author has 13275 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
\(\displaystyle\frac{\overline{{{R}{S}}}}{\overline{{{M}{N}}}}=\frac{{18}}{{6}}={3}\)
\(\displaystyle\frac{\overline{{{S}{Q}}}}{\overline{{{N}{L}}}}=\frac{{30}}{{10}}={3}\)
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