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swati chaudhary

· started a discussion

· 1 Months ago

any formla (Question: 189918.0 )

plz explain this

Question:
In \(\Delta\)ABC, \(\overline{AD}\)  is a median. Which of the following relations is correct ? 
Options:
A) AB + AC = 2AD
B) AB + AC > 2AD 
C) AB + AC < 2AD
D) None of these
Solution:
Ans: (b)


Sarvesh Chaurasia

· commented

· 1 Months ago

diagonals bisect each other in a parallelogram,so BE=AC being opposite sides

Knowledge Expert

· commented

· 1 Months ago

Draw AE perpendicular to BC.
Since angle AED = 90,
Therefore, in triangle ADE
angle ADE < 90 and angle ADB > 90
Thus, triangle ABD is obtuse angled triangle and triangle ADC is acute angled triangle.
Triangle ABD is obtuse angled at D and AE is perpendicular to BD produced,
Therefore,
AE = 2AD
AB+BE>2AD
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