Question

DISTANCE BETWEEN THE POINTS (3,5)AND (9,8) IS​

Answer 1

Answer:

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Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

Given :

Two points are given say A (3,5) and B(9,8)

To Find :

Distance between given Points

We use distance formula to find out the distance between two points :

✹We use distance formula when two given Points are lie on the plane either in horizontal or in vertical direction then we substract their coordinate to find distance.

$\bold{\boxed{D= \sqrt{ {x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} } }}$

Here, $x_{1}=3 ,x_{2}=9 ,y_{1}=5 \& \:y_{2}=8$

$D= \sqrt{ {(9 - 3)}^{2} + {(8 - 5)}^{2} }$

$D= \sqrt{ {(6)}^{2} + {(3)}^{2} }$

$D= \sqrt{36 + 9}$

$D= \sqrt{45}$

$D = \sqrt{3 \times 5 \times 3} =3\sqrt{5}\:unit$

$\therefore$ The distance between A(3,5) and B(9,8) is $\bold{\red{ 3\sqrt{5}\: unit}}$.