Respuesta :
Sorry for bad handwriting, while there are other ways to do this, if you can just know how to simply find the legs from the two points it is very simple!

The distance between points F(2,9) and G(4,14) rounded to the nearest whole number is 5 units
The formula for calculating the distance between two points is expressed as;
[tex]D = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\[/tex]
Given the coordinate points F(2,9) and G(4,14). Substitute the points into the formula as shown:
[tex]D = \sqrt{(14-9)^2+(4-2)^2}\\D= \sqrt{5^2+2^2}\\ D = \sqrt{25+4}\\D=\sqrt{29}\\D = 5.385\\D\approx 5 units[/tex]
Hence the distance between points F(2,9) and G(4,14) rounded to the nearest whole number is 5 units
Learn more here: https://brainly.com/question/22624745