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Find distance of point A(6, 8) from origin - Geometry Mathematics 2

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Question

Find distance of point A(6, 8) from origin

Sum

Solution

Let A(x1, y1) = A(6, 8), O(x2, y2) = O(0, 0)

∴ x1 = 6, y1 = 8, x2 = 0, y2 = 0

By distance formula,

d(A, O) =`sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

= `sqrt((0 - 6)^2 + (0 - 8)^2`

= `sqrt(36 + 64)`

= `sqrt(100)`

= 10 cm

∴ The distance of point A(6, 8) from origin is 10 cm.

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Chapter 5: Co-ordinate Geometry - Q.1 (B)

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