Mathematics
In the adjoining figure, AB = AC. If PM ⊥ AB and PN ⊥ AP, show that PM × PC = PN × PB.
Related Questions
Given Δ ABC ∼ Δ DEF.
Assertion (A): If area of Δ ABC = 64 cm2, area of Δ DEF = 49 cm2 and BC = 4 cm, then EF is 7 cm.
Reason (R): The ratio of area of two similar triangle is equal to the ratio of square of their corresponding sides.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
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
