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Mathematics

Calculate the distance between the points P(2, 2) and Q(5, 4) correct to three significant figures.

Distance Formula

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Answer

∵ Distance between the given points = (x2x1)2+(y2y1)2\sqrt{(x2 - x1)^2 + (y2 - y1)^2}

Distance between P(2, 2) and Q(5, 4):

=(52)2+(42)2=32+22=9+4=13=3.605 units= \sqrt{(5 - 2)^2 + (4 - 2)^2}\\[1em] = \sqrt{3^2 + 2^2}\\[1em] = \sqrt{9 + 4}\\[1em] = \sqrt{13}\\[1em] = 3.605 \text{ units}

Hence, the distance between the points P(2, 2) and Q(5, 4) is 3.605 units.

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