Question

What is the distance between the points at (8,4) and (5,1)?​

Answer 1

`\large{ \text{Hii,Hope \: you \: are \: fine!}}`

This is a question from coordinate geometry. This is a very simple question. You can solve it by using distance formula.

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First we have to assume the coordinates as following:-

Let the coordinates of A be (8,4) and coordinates of B be (5,1).

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Further we have to assume:-

`\mapsto\sf{X_1=8}`

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`\mapsto \sf{Y_1=4}`

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`\mapsto \sf{X_2=5}`

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`\mapsto \sf{Y_2=1}`

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Here we have distance formula:-

`\sf{Distance \: of \: AB= \sqrt{({X_2-X_1) }^(2) + {( Y_2-Y_1) }^(2) } }`

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`\sf{Distance \: of \: AB= \sqrt{({5 - 8) }^(2) + {( 4 - 1) }^(2) } }`

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`\sf{Distance \: of \: AB= \sqrt{({ - 3) }^(2) + {( 3) }^(2) } }`

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`\sf{Distance \: of \: AB= √(9+ 9 ) }`

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`\sf{Distance \: of \: AB= √(18) }`

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`\sf{Distance \: of \: AB= 3 √(2) cm }`

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This is your final answer.

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KINDLY VISIT WEB TO UNDERSTAND MORE CLEARLY.

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