Answer :

Key points to solve the problem:


• Idea of distance formula- Distance between two points P(x1,y1) and Q(x2,y2) is given by- PQ =



• Area of a ΔPQR – Let P(x1,y1) , Q(x2,y2) and R(x3,y3) be the 3 vertices of ΔPQR.

Ar(ΔPQR) =


Given, coordinates of triangle as shown in figure.



Also,


ar(ΔDBC) =


=


Similarly, ar(ΔABC) =


=



24.5 = 28x – 14


28x = 38.5


x = 38.5/28 = 1.375


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