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WAEC Further Mathematics 2014 Paper

Question : 37

Total: 40

Find the distance between the points (2, 5) and (5, 9).

Solution:

Concept:

The distance between two points in a plane is found using the distance formula, which is derived from Pythagoras' theorem.

Explanation:

For points

(x_1, y_1)

and

(x_2, y_2)

, the distance is:

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Here, take

(x_1, y_1) = (2, 5)

and

(x_2, y_2) = (5, 9)

Substitute the coordinates:

d = \sqrt{(5 - 2)^2 + (9 - 5)^2}

d = \sqrt{3^2 + 4^2}

d = \sqrt{9 + 16}

d = \sqrt{25}

d = 5 \text{ units}

Answer:

B. 5 units

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