In , AL and CM are the perpendiculars from the vertices A and C to BC and AB respectively. If AL and CM intersect at O, prove that :

Question

In , AL and CM are the perpendiculars from the vertices A and C to BC and AB respectively. If AL and CM intersect at O, prove that : (i) (ii)

Philoid · Accepted Answer

_{We have}

_AL _⏊ _{BC and CM} _⏊ _AB

_{IN ΔOMA and ΔOLC}

_{(Vertically opposite angles)}

_{Then, ΔOMA ~ΔOLC (BY AA Similarity)}

SO, (Corresponding parts of similar triangle area proportion)