Answer:
Step-by-step explanation:
Point R is the mid point of side FE Using mid point formula coodinates of F are (3a,b)
In triangle DEF, DF = base = 4a and height = 2b.
Hence area of triangle DEF = 1/2 hy = 4ab
In triangle QRP, base QR = line joining mid points of sides DE and EF
= 1/2 (DF) = 2a
Height =b
So area of triangle DEF = 1/2 (2a)b = ab
i.e. Area of triangle DEF = 4 times triangle QRD
It follows that in an isosceles triangle, if QR is the mid points of isosceles sides, then triangle QRD has 1/4 times area of triangle DEF
