Question

if D(-1/2, 5/2), E(7,3) and F(7/2, 7/2) are the mid-points of sides of triangle ABC, find the area of the triangle ABC.

Answer 1

if midpoint of any triangle are given then area of triangle is 4 times area of triangle form by joining midpoints of triangle

now use above concept
first find ar (DEF)=1/2 {(-1/2)(3-7/2)+7(7/2-5/2)+7/2(5/2-3)}
=1/2 (1/4+7-7/4)
=11/4 square unit
now
area of ABC=4x11/4=11 square unit

Answer 2

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