In the adjoining figure, AB = AC. If PM ⊥ AB and PN ⊥ AP, show that PM × PC = PN × PB.
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In the adjoining figure, ∠1 = ∠2 and ∠3 = ∠4. Show that PT × QR = PR × ST.
In the figure (1) given below, ∠AED = ∠ABC. Find the values of x and y.
In the figure (2) given below, medians BE and CF of a △ABC meet at G. Prove that :
(i) △FGE ~ △CGB
(ii) BG = 2GE