Question

2- If A=(3, 4) and B = (7,8), find AB.​

Answer 1

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➢ Here question is asking to find the distance between points "A" and "B"

➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula

➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions

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${ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}$

★ Here

• $\sf \:➣ x_2 = 7$
• $\sf➣x_1=3$

• $\sf➣y_2=8$

• $\sf➣y_1=4$

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$\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units$

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Hence distance of AB =

${ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}$

Hope it helps !

Answer 2

Use distance formula and take this question down, easily.

Step-by-step explanation:

Distance xy =

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

Therefore AB

=$\sqrt{(7-3)^2 +(8-4)^2}$

=$\sqrt{(4)^2 +(4)^2}$

=$\sqrt{32}$

=$\boxed{4 \sqrt{2}-units}$