Question

9. Find the distance between the points A(7, 13) and B(10, 9)​

Answer 1

Answer:

by using distance formula

Answer 2

Given :

• Co-ordinates of A ( 7 , 13 )

• Co-ordinates of B ( 10 , 9 )

To Find :

• Distance of AB

Solution :

$\large \boxed{ \sf \green{ Distance = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1}^{2}}}}$

Here

$\sf x_2 = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x_1 = 7 \\ \\ \sf y_2 = 9\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y_1 = 13$

Substituting values in formula

$\sf \implies AB = \sqrt{ {(10 -7)}^{2} +{(9 - 13)}^{2} } \\ \\ \sf \implies AB = \sqrt{ {(3)}^{2} +( { - 4)}^{2} } \\ \\ \sf \implies AB = \sqrt{9 + 16} \\ \\ \sf \implies AB = \sqrt{25} \\ \\\large \implies \boxed{ \boxed{ \sf \blue{ AB = 5\: unit}}}$