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Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleLength of angle bisector and median / Dist. between sp. PointsMedium2 minQB

MathematicsMediumsingle choice

If $m_{a}$ , $m_{b}$ , $m_{c}$ are the medians through A,B,C of triangle ABC, find side c.

Options:

Answer:

Solution:

At the centroid G, AG= $2 m_{a}$ /3, BG= $2 m_{b}$ /3, CG= $2 m_{c}$ /3. The centroid identity $c^{2}$ +(4/9) $m_{c}^{2}$ =(8/9)( $m_{a}^{2}$ + $m_{b}^{2}$ ) gives c=(2/3) $2 m_{a}^{2} + 2 m_{b}^{2} - m_{c}^{2}$ .

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Length of angle bisector and median / Dist. between sp. Points

⏱ 2mℹ️ Source: QB

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