# Find the value of

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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