Q. 65.0( 3 Votes )

Find the value of

Answer :

Given: – Vertices of triangle are (x, 4), (2, – 6) and (5, 4) and area of triangle is 35 sq.cms


Tip: – If vertices of a triangle are (x1,y1), (x2,y2) and (x3,y3), then the area of the triangle is given by:



Now,


Substituting given value in above formula



Removing modulus



Expanding along R1



[x(– 10) – 4(– 3) + 1(8 – 30)] = ± 70


[ – 10x + 12 + 38] = ± 70


±70 = – 10x + 50


Taking + ve sign, we get


+ 70 = – 10x + 50


10x = – 20


x = – 2


Taking – ve sign, we get


– 70 = – 10x + 50


10x = 120


x = 12


Thus x = – 2, 12


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