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Standard VIII

Mathematics

Medians of a Triangle and the Drawing Method

If in triangl...

Question

If in triangle $X Y Z, X Y = X Z$ and M, N are the mid points of XY YZ, then which one of the following is orrect ?

M N = Y Z

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N Y = N Z = M N

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M X = M Y = N Y

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M N = M X = M Y

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Solution

The correct option is D $M N = M X = M Y$
Since M and N are the mid-points of XY and YZ respectively, therefore MN is parallel to XZ
And $M N = \frac{1}{2} X Y$ ............ (since $X Y = X Z$ )
$∴ M N = M X = M Y$

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If in triangle XYZ,XY=XZ and M, N are the mid points of XY YZ, then which one of the following is orrect ?

The correct option is D MN=MX=MYSince M and N are the mid-points of XY and YZ respectively, therefore MN is parallel to XZ And MN=12XY............ (since XY=XZ)∴MN=MX=MY

If in triangle $X Y Z, X Y = X Z$ and M, N are the mid points of XY YZ, then which one of the following is orrect ?

The correct option is D $M N = M X = M Y$
Since M and N are the mid-points of XY and YZ respectively, therefore MN is parallel to XZ
And $M N = \frac{1}{2} X Y$ ............ (since $X Y = X Z$ )
$∴ M N = M X = M Y$