(a) Find the area of triangle with vertices A(2, 0), B(4, 5), C(6, 3).
(b) For what value(s) of a, the points (a, 0), (2, 0) and (4, 0) are collinear?
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Answer:
a............
triangle formula :- 1/2×[×1(y2-y3)+×2(y3-y1)+×3(y1-y2)]
1/2×[2(5-3)+4(3-0)+6(0-5) ]
1/2 ×[ 4+12-30]
1/2×(16-30)
-7 as 7 square units area .
b...............
as collinear means area is 0
according to triangle formula
0=1/2[a(0-0)+2(0-0)+4(0-0)
0= a(0-0)
0=a ...........as ..........a=0 ..
so the value of a is 0 .
Hopes its help u mark it as a brainlist answer .
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