After studying the diagram shown, michael makes the following conclusions:

1. dg = 3 and the area of square defg is 9.
2. ag = 4 and the area of square ghia is 16.
3. da = 5 and the area of square abcd is 25.

what conclusion can he make about the sides (dg, ag, and da) of the yellow triangle?
a) dg + ag = da
b) da - dg = ag
c) da2 = dg2 + ag2
d) da2 = dg2 - ag2

Therefore, Michael concludes option C)

C)

Step-by-step explanation:

Given:

1. DG = 3 and the area of square DEFG is 9.

2. AG = 4 and the area of square GHIA is 16.

3. DA = 5 and the area of square ABCD is 25.

So we have,

Now Add DG² and AG² we get

Which is also called as  Pythagoras theorem i.e

Therefore, Michael concludes option C)

C)

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.