Since QNR ~ MNL, we have the following ratios:
QR/QN = MN/ML and NR/QN = NL/ML
Substituting the given values:
20/56 = 60/ML and 48/56 = 70/ML
Simplifying the equations:
20/56 = 15/ML and 48/56 = 70/ML
Cross-multiplying:
20 * ML = 56 * 15 and 48 * ML = 56 * 70
Simplifying further:
ML = (56 * 15) / 20 and ML = (56 * 70) / 48
Calculating:
ML = 840 / 20 and ML = 3920 / 48
ML = 42 and ML ≈ 81.67
Therefore, the length of ML can be either exact 42 or approximated as 81.67.
Find the length of ML. The drawings are not to scale. Please make sure to show all work in order to get full credit for the problem.
QNR~MNL
QR is 20
QN is 56
NR is 48
MN is 60
NL is 70
1 answer
1 answer