Let D and E be two points on the side BC of ΔABC such that AD = AE and ∠BAD = ∠EAC. If AB = (3x + 1) cm, BD = 9 cm, AC = 34 cm and EC = (y + 1) cm, then the value of (x + y) is:
A. 19
B. 16
C. 17
D. 20
Answer: Option A
Solution (By Examveda Team)
ΔABC Isosceles Δ
3x + 1 = 34
x = 11
From Pythagoras Triplet
AP = 30 cm
PC = BP = 16 cm
DP = 7 cm
PC = 7 + y + 1
16 = 8 + y
y = 8
x + y = 11 + 8 = 19
This Question Belongs to Arithmetic Ability >> Geometry
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