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Question:

ABCD is a rectangle whose three vertices are B(4,0), C(4,3) and D(0,3). The length of one of its diagonals is?

25

5

3

4

Solution:

From the diagram we can see that AB=4units, BC=3units
Using Pythagoras theorem, AC²=AB²+BC²=4²+3²
AC²=16+9=25
Taking square root on both the sides, we get
AC=5units.