Question

Find the distance between the points (5, -2) and (7, -2).​

Answer 1

Answer:

7－5＝2

－2－（－2）＝0

√（2^2＋0^2）＝√4＝2

Answer 2

★ Given :

• Find distance between A(5, -2) ; B(7, -2)

★ Let,

• x1 = 5 ; y1 = - 2
• x2 = 7 ; y2= - 2

★ Formula used :

$\tt\red{:\implies AB = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}}$

• Substitute the values.

$\rm\:\implies AB = \sqrt{(7 - 5)^{2} + (-2 -(-2))^{2}}$

$\rm\:\implies AB = \sqrt{(2)^{2} + (-2 + 2)^{2}}$

$\rm\:\implies AB = \sqrt{4 + (0)^{2}}$

$\rm\:\implies AB = \sqrt{4 + 0}$

$\rm\:\implies AB = \sqrt{4 }$

$\rm\:\implies AB = 2$

$\underline{\boxed{\bf{\purple{ \therefore Distance \:between \:the\: points\:is\:2.}}}}\:\orange{\bigstar}$