In △abc, m∈ ac and n∈ bc . prove that mn ∥ ab , if: cm/ma= cn/nb

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Step-by-step explanation:

In triangle △ABC, M∈ AC and N∈ BC and

then

and

Consider triangles ABC and MNC. In these triangles,

Hence, by SAS similarity theorem. Similar triangle have congruent corresponding angles, so

Angles ABC and MNC are corresponding angles when lines AB and MN are cut by transversal BC. Since these angles are congruent, by converse of  corresponding angles theorem, lines AB and MN are parallel.

lo.lll

step-by-step explanation:

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

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