Question

D, E and F are respectively the mid point of the sides BC,
CA, AB of the triangle ABC. FE intersects AD at 0.
IfAD=6 cm then the length of AO is---​

Answer 1

Answer:

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Answer 2

Answer:

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$Let ABC be the triangle and D, E and F be the mid-point of BC, CA and AB respectively. We have to show triangle formed DEF is an equilateral triangle. We know the line segment joining the mid-points of two sides of a triangle is half of the third side.</p><p></p><p></p><p>Therefore DE=21AB \: ,EF=21BC and FD=21AC</p><p></p><p></p><p>Now, ΔABC is an equilateral triangle </p><p></p><p></p><p>⇒AB=BC=CA</p><p></p><p></p><p>⇒21AB=21BC=21CA</p><p></p><p></p><p>⇒DE=EF=FD</p><p></p><p></p><p>∴ΔDEF is an equilateral triangle.</p><p></p><p>$