Question

Find the distance between the two points in simplest radical form.
(3,9) and (-2,4)

Answer 1

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

★ Points are,

• (3 , 9)
• (-2 , 4)

★ Distance Formula :

• $\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar$

★ We have :

x1 = 3

x2 = -2

y1 = 9

y2 = 4

★ Substituting the values :

• Refer the attachment.

Additional Information :

Centroid of a triangle :-

• $\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar$

Midpoint of two points:-

• $\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar$