You visited us 1 times! Enjoying our articles? Unlock Full Access!

Median of Triangle

If the length...

Question

If the length of median $A A_{1}, B B_{1}$ and $C C_{1}$ of triangle ABC are $m_{a}, m_{b}$ and $m_{c}$ respectively. Then

\sum m a > \frac{3}{2} s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\sum m a > 3 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sum m a > \frac{5}{2} s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sum m a > 2 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\sum m a > \frac{3}{2} s$
As we know that the sum of square of medians of tringle is given by,
$A A_{1}^{2} + B B_{1}^{2} + C C_{1}^{2} = \frac{3}{4} (A B^{2} + B C^{2} + A C^{2})$

$⟹ \sum m_{a} > \frac{3}{2} s$

Suggest Corrections

Similar questions

m_{a}

\frac{a}{2}

m_{a} =

a =

A block of mass 300kg falling at 160m in 2s is used to lift a load of 900kgf. If the load rises up by 40m in same time then calculate

m_{A}

m_{B}

r_{A}

r_{B}

T_{A}

T_{B}

m_{A}

m_{A}

m_{a}

m_{b}

{¯ ¯¯ ¯ V}_{a}

and_{b}

m_{a}

m_{b}

_{b}

{¯ ¯ ¯ v}_{a}

\frac{m_{a}}{m_{b}}

In the following circuit $i_{1}$ and $i_{2}$ are respectively (diodes are ideal)

Join BYJU'S Learning Program