Q. 184.0( 8 Votes )

The area of a tri

Answer :

Area of triangle = 5 sq. units.

Vertices are (2, 1), (3, –2) and (7/2, y).


Area of a triangle when three points (x1, y1), (x2, y2), (x3, y3) are given:


Area of triangle = 1/2|[x1(y2 – y3) + x2(y3 - y1) + x3(y1 – y2)]|


5 = 1/2 |[2(-2 - y) + 3(y – 1) + (7/2)(1 + 2)]|


= 1/2|[ -4 -2y + 3y - 3 + (21/2)]|


= 1/2|[y + (7/2)]|


5 × 2 = |y + (7/2)|


10 = y + (7/2) or 10 = -[y + 7/2]


y = 10 –(7/2) or 10 = -y – (7/2)


y = 13/2 or y = -10 – (7/2)


y = 13/2 or y = -27/2


y = 13/2 or -27/2.


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