A right triangle is formed by connecting the 3 coordinates A, B and C. Find the area of the ΔABC, if AB and BC are parallel to the coordinate axes as shown in the figure.
A
6 sq. units
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B
12 sq. units
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C
10 sq. units
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D
20 sq. units
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Solution
The correct option is A 6 sq. units
Since, BC is parallel to X-axis, ordinate of point B is 1. AB is parallel to Y-axis, so its abscissa is 1. Hence, the coordinates of the point B is (1, 1).
Length of AB is difference of ordinates since it is parallel to Y-axis = 4 - 1 = 3 units Length of BC is difference of abscissa since it is parallel to X-axis = 5 - 1 = 4 units