Question

if the distance between the point (m,2m) and (4m,4m) is root 13 find the value of m
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Answer 1

Step-by-step explanation:

By distance formula:

${(4m - m)}^{2} + {(4m - 2m)}^{2} = {(13)}^{2} \\ ( {3m)}^{2} + ( {2m)}^{2} = 169 \\ 9 {m}^{2} + 4 {m}^{2} = 169 \\ 13 {m}^{2} = 169 \\ {m}^{2} = \frac{169}{13} \\ {m}^{2} = 13 \\ m \: = \sqrt{13} \: units. \:$