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Question

Mathematics Question on Straight lines

The area of the triangle formed by the points (2,2),(5,5),(6,7)(2, 2), (5, 5), (6, 7) is equal to (in square units)

A

9

B

5

C

10

D

3

Answer

3

Explanation

Solution

Required Area
=12[2(57)+5(72)+6(25)]=\frac{1}{2}[2(5-7)+5(7-2)+6(2-5)]
=12[4+2518]=\frac{1}{2}[-4+25-18]
=32sq unit=\frac{3}{2}sq\text{ }unit