Question

ABC is a triangle. AD, BE,CF are the medians. AD=x BE=y CF=2 . find area of triangle.

Answer 1

Answer:

Given line :-

y=x+3−−−−−(1)

y=2x+4−−−−−(2)

By shiftiing centroid to origin

Thus now equation of median are y = x and y = 2x

Now the coordinates of A and B can be taken as (a,a) and B(b,2b)

Using centroif formula C(−a−b,−a−2b)

Length of hypotenuse AB = 60

$\sf{ab}^{2} = {(a - b)}^{2} + {(a - 2b)}^{2}$

• Please refer the attachment

• Therefore the area of the Triangle is:-

$\sf \frac{3}{2} \times (ab) \: = \: 400$

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