Question

Find the distance between the points
(2,3) and (6,6)​

Answer 1

answer in the attachment

Answer 2

Given:-

• Points are (2,3) and (6,6).

To Find:-

• Find the distance between the points.

Concept:-

• Let's go through the concept first. Concept used here is Distance Formula.Substitute the given values in the equation and solve it wisely.Express tha answer in units.Let's do it.

Formulae Applied:-

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

Solution:-

Given that,

Points are (2,3) and (6,6).

$\bold{x_2 = 6,x_1 = 2}$

$\bold{y_2 = 6,y_1 = 3}$

Distance = ??

According to the question we have!

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

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

$\bold{= \: \sqrt{(6 \: - \: 2)^{2} \: + \: (6 \: - \: 3)^{2}}}$

$\bold{= \: \sqrt{(4)^{2} \: + \: (3)^{2}}}$

$\bold{= \sqrt{\: 16 \: + \: 9}}$

$\bold{= \sqrt{\:25}}$

$\bold{ = 5}$

Hence,

The distance between the points is 5 units.