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Use the diagram to determine which statement is true.

 

A) Area(ABCD) − AREA(DGA) = AREA(DEFG)

B) Area(ABCD) − AREA(GHIA) = AREA(DEFG)

C) Area(ABCD) + AREA(GHIA) = AREA(DEFG)

D) Area(GHIA) − AREA(DEFG) = AREA(ABCD)

E) Area(ABCD) + AREA(GHIA) = AREA(DGA)

 

 

 

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) DA^2 = DG^2 + AG^2

D) DA^2 = DG^2 - AG^2

E) DA = √DG + AG

 Oct 18, 2019
 #1
avatar+109397 
+2

First one : 

C) Area(ABCD) + AREA(GHIA) = AREA(DEFG)

 

Second one :

C) DA^2 = DG^2 + AG^2

 

 

cool cool cool

 Oct 18, 2019

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