Q16 of 168 Page 5

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)

We have


AL ⏊ BC and CM ⏊ AB


IN ΔOMA and ΔOLC


<MOA = <LOC (Vertically opposite angles)


<AMO = <LOC (Each 90°)


Then, ΔOMA ~ΔOLC (BY AA Similarity)


SO, (Corresponding parts of similar triangle area proportion)


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