a) The midpoint formula is (x2+x1) / 2 , (y2 + y1) / 2. So let's say your two points were (3,1) and (7,4). x2 would be 7 and x1 would be 3. (7 + 3) / 2 = 5. Follow the same steps for (7,4) and you would get (4 + 1) / 2 = 2.5. The middle of your line from (3,1) to (7,4) would be at (5, 2.5)
Use this for all of your points:
E and F: (-1.5,2)
F and G: (3,2)
G and E: (1.5,5)
I didn't have time to do the others but go to GeoGebra for a free graph.
which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ =
] . We're asked to find out tan θ ].
. Just plug the values :