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richa shukla

· started a discussion

· 1 Months ago

Qutn.ID 217653 (Question: 217653.0 )

how can we assume that median and altitudes are same , type of triangle is not specified in qutn

Question:
In a \(\Delta\)ABC, \(\overline{AD}, \ \overline{BE}\)  and \(\overline{CF}\)  are three medians. Then the ratio (AD2  + BE2  + CF2) : (AB2  + AC2  + BC2) is –
Options:
A) equal to \(\cfrac{3}{4}\)
B) less than \(\cfrac{3}{4}\)
C) greater than \(\cfrac{3}{4}\)
D) equal to \(\cfrac{1}{2}\)
Solution:
Ans: (a)



Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Usually, medians, angle bisectors and altitudes drawn from the same vertex of a triangle are different line segments. But in special triangles such as isosceles and equilateral, they can overlap. thus we consider medians and altitudes are same.

Keep learning with us!!
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Team Toprankers

Knowledge Expert

· commented

· 1 Months ago

Yet to be approved!
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