Answer the following questions

(i) Find the distance between origin and (7,4).
(i) Find the midpoint of the line segment joining the points (2,7) and (12,-7)

Solution:

(i)

Distance between the origin (0. 0) and (7, 4)

=  $\sqrt{{(7 - 0)}^2 + ({4 - 0})^2}$

=   $\sqrt{{7}^2 + {4 }^2}$

=$\sqrt{49 + 16}$

=$\sqrt(65)$

= 8.06 units

The distance between the origin (0. 0) and (7, 4) is 8.06 units

ii)

The midpoint of the line segment joining the points (2,7) and (12,-7)

=[$ \frac{2 + 12}{2}, \frac{7-7}{2}$]

= $ \frac{14}{2}, \frac{0}{2}$

= (7, 0)

The midpoint of the line segment joining the points (2,7) and (12,-7) is (7, 0)

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Updated on: 10-Oct-2022

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