Question

Find the distance between the points. (6,-3) and (0,5) 40) draw the triangle

Answer 1

The formula to find the distance between two points (a,b) and (c,d) is:

`\sqrt[]{(a-c)^2+(b-d)^2}`

Substitute (a,b)=(6,-3) and (c,d)=(0,5):

`\begin{gathered} \sqrt[]{(6-0)^2+(-3-5)^2} \\ =\sqrt[]{(6)^2+(-8)^2} \\ =\sqrt[]{36+64} \\ =\sqrt[]{100} \\ =10 \end{gathered}`

Therefore, the distance between (6,-3) and (0,5) is 10.

Plot the points on the coordinate plane to draw the triangle: