Question

find the distance between (3,5)and (-5,8)​

Answer 1

QUESTION

• find the distance between (3,5)and (-5,8).

Given

• two points are ( 3, 5 ) and ( -5 , 8 )

Find

• The distance between two point

Formula

$\rm{\red{\boxed{\underline{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}$

Solution

• $\sf x_1=3$
• $\sf y_1=5$
• $\sf x_2=-5$
• $\sf y_2=8$

Calculation

$\sf{\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}}$

$\sf \sqrt{((-5)-3)^2+(8-3)^2}$

$\sf \sqrt{(-8)^2+(5)^2}$

$\sf \sqrt{(64+25)}$

$\sf \sqrt{89}$

Hence

• The distance between two point is √89 cm