Mathematics
In the given figure, it is given that ∠ABD = ∠CDB = ∠PQB = 90°. If AB = x units, CD = y units and PQ = z units, prove that .
Related Questions
D and E are points on the sides AB and AC respectively of ΔABC. For each of the following cases, state whether DE ∥ BC :
(i) AD = 5.7 cm, BD = 9.5 cm, AE = 3.6 cm and EC = 6 cm.
(ii) AB = 5.6 cm, AD = 1.4 cm, AC = 9.6 cm and EC = 2.4 cm.
(iii) AB = 11.7 cm, BD = 5.2 cm, AE = 4.4 cm and AC = 9.9 cm.
(iv) AB = 10.8 cm, BD = 4.5 cm, AC = 4.8 cm and AE = 2.8 cm.
In ΔABC, AD is the bisector of ∠A. If BC = 10 cm, BD = 6 cm and AC = 6 cm, find AB.
In the given figure, AC ∥ DE ∥ BF. If AC = 24 cm, EG = 8 cm, GB = 16 cm, BF = 30 cm.
(i) Prove that ΔGED ∼ ΔGBF.
(ii) Find DE.
(iii) Find DB : AB.
