Question

Which value is closest to the unit length of GF in the coordinate plane below ?

Answer 1

`GF=11\ units`

Explanation:

we know that

Applying The Pythagorean Theorem in the right triangle GHF of the figure

`GF^2=GH^2+HF^2`

we have

`GH=6\ units\\HF=9\ units`

substitute

`GF^2=6^2+9^2`

`GF^2=36+81`

`GF^2=117`

`GF=10.8\ units`

Round to the nearest unit

`GF=11\ units`