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prateek sharma

· started a discussion

· 1 Months ago

doubt (Question: 111077.0 )

friends some says BD should HAVE TO BE perpendicular also... then only is will be half of AC... plz ANSWER.??

Question:
In \(\angle \)ABC, \(\angle \)B is a right angle, AC = 6 cm, and D is the mid-point of AC. The length of BD is :

Options:
A) 4 cm
B) 2 cm
C) 3 cm
D) 3.5 cm
Solution:
Ans: (c)


In a right angled triangle, the length of median to the hypotenuse is half the length of the hypotenuse. 

Hence BD = \(\cfrac{1}{2}AC=3\) cm.

Hence BD = \(\cfrac{1}{2}\)  diameter = \(\cfrac{1}{2}\)   AC = \(\cfrac{1}{2}\)hypotenuse

Varun

· commented

· 1 Months ago

bd is not perpendicular to ac

Akash

· commented

· 1 Months ago

angle B is 90 deg and BD is the median of AC implies that BD is perpendicular to AC
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