Q. 35.0( 3 Votes )
Four points A (6,
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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