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Question

A right triangle is formed by connecting the 3 coordinates A, B and C. If AB and BC are parallel to the coordinate axes as shown in figure, find the distance BC.


  1. 2 units

  2. 4 units

  3. 8 units

  4. 3 units


Solution

The correct option is B

4 units


Since BC is parallel to the X-axis, the ordinate of B is equal to that of c.
So, the ordinate of B is 1.

AB is parallel to the Y-axis, so the abscissa of B is equal to that of A.
So, the abscissa of B is 1.

Hence, the coordinates of B is (1,1).

Length of BC is the difference between the abscissa of the points B and C since it is parallel to X-axis.

So, BC = 5 - 1 = 4 units.

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