Mathematics
In the figure (2) given below, medians BE and CF of a △ABC meet at G. Prove that :
(i) △FGE ~ △CGB
(ii) BG = 2GE
Related Questions
In a △ABC, D and E are points on the sides AB and AC respectively such that DE || BC. If AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BC = 5 cm, find BD and CE.
In the adjoining figure, AB = AC. If PM ⊥ AB and PN ⊥ AP, show that PM × PC = PN × PB.
In the figure (1) given below, ∠AED = ∠ABC. Find the values of x and y.
In the given figure, P is a point on AB such that PB : AP = 3 : 4 and PQ || AC.
(i) Calculate PQ : AC.
(ii) If AR ⊥ CP, QS ⊥ CB and QS = 6 cm, calculate the length of AR.