in the figure, if NT/AB =9/5 and if MB=10cm , then MN will be ??

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in the figure, if NT/AB =9/5 and if MB=10cm , then MN will be ??

Gursheen kaur. · Accepted Answer

In Î”'s MAB and MNT, âˆ M is common Since , AB $∥$ NT , we have, âˆ A =âˆ N and âˆ B =âˆ T Hence, the Î”'s are equiangular and so similar $\frac{M A}{M N} = \frac{A B}{N T} = \frac{M B}{M T} \Rightarrow \frac{A B}{N T} = \frac{M B}{M T} \Rightarrow \frac{5}{9} = \frac{10}{M T} \Rightarrow M T = 18 n o w, \frac{M A}{M N} = \frac{M B}{M T} \Rightarrow \frac{M A}{M N} = \frac{10}{18} \Rightarrow M N = \frac{18}{10} M A \Rightarrow M N = \frac{9}{5} M A$