Question

Triangle ABC is formed by the three squares X, Y, and Z: Which statement best explains the relationship between the sides of triangle ABC?

AB + BC = AC, because 25 + 144 = 169
(AB)2 + (BC)2 = (AC)2, because 132 + 52 = 122
AB + BC = AC, because 132 + 52 = 122
(AB)2 + (BC)2 = (AC)2, because 25 + 144 = 169

Answer 1

Notice how the left square has side AB which means the area of that left square (AB)^2

Repeat this process with the bottom and upper right squares, writing an expression for their areas

Now, if you sum the two smaller areas you get the area of the large square.

With that in mind, what do you think the solution might be?

Answer 2

tbh i think its a or c

Answer 3

Remember, the area of the square is the side length *squared*

The area of the left square is (AB)^2 not just AB

What about the areas of the other squares ?

Answer 4

is it d?

Answer 5

Good

Answer 6

thx voc