Question

(8,5) (4,2) solve using distance formula​

Answer 1

$distance = \sqrt{16 + 9}$

distance = 5

Answer 2

Answer :

5 units

Explanation :

Given points -

• (8, 5)
• (4, 2)

Find the distance between the points.

Using distance formula -

$\\ \longrightarrow \rm \: \sqrt{({x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2}} \\ \sf \: where \\ \bull \rm \: x_1 = 8 \: and \: x_2 = 4\\ \bull \rm \: y_1 = 5 \: and \: y_2 = 2 \\ { \underline{\sf{on \: substituting \: the\: values : }}}\\ \longrightarrow \rm \: \sqrt{({4 - 8)}^{2} + {(2 - 5)}^{2}} \\ \longrightarrow \rm \: \sqrt{ {( - 4)}^{2} + {( - 3)}^{2} } \\ \longrightarrow \rm \: \sqrt{16 + 9} \\ \longrightarrow \rm \: \sqrt{25} \\ \longrightarrow \rm \: 5 \\ { \underline{ \sf{ \therefore{The \: distance \: between(8, \:5) \: and \: (4, \:2) \: is \: 5 \: units}}}}$