why AD=BD=CD? (Question: 351233.0 )

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shreya

· started a discussion

· 1 Months ago

why AD=BD=CD? (Question: 351233.0 )

why AD=BD=CD?

Question:

AB is the hypotenuse in the right angled triangle ABC. N is a point inside the triangle which divides the triangle in three equal parts (ABN, CAN, CBN). What is the distance between the orthocentre and the point N?

Options:

$\frac{A B}{3}$

$\frac{A B}{6}$

$\frac{A B}{2}$

$\frac{A B}{4}$

Solution:

Ans: (a)

ravindra

· commented

· 1 Months ago

because it's the rule of median drawn to the hypotenuse of right angled triangle
so AB=BD=CD
and if we draw a perpendicular to the hypotenuse then,
CD=square root of the product of AB and BD

SSP

· commented

· 1 Months ago

Yet to be approved!

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why AD=BD=CD? (Question: 351233.0 )

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