Question

Q: Find the distance from the orange point to the origin. Sketch on the graph to convince us.

Answer 1

to find the distance between 2 points we use the following formula

`d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

according ti the image point 1 will be (0,0) and point b will be (4,3)

replace this points inti the formula

`\begin{gathered} d=\sqrt[]{(4-0)^2+(3-0)^2} \\ d=\sqrt[]{4^2+3^2} \\ d=\sqrt[]{16+9} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}`

this can be proved by drawing a right triangle using the 2 points like this

using the pithagorean the distance of the 2 points is the hypotenuse which leaves 5 as the distance.