Question

PLEASE HELP!!! :((

Answer 1

Figure 1 and figure 2 above are congruent squares. Both figures have been split into smaller shapes consisting of squares and right triangles. All of the triangles are congruent, and they have leg lengths of a and b, with hypotenuse c, as marked in figure 1.

Picture of the shapes: https://cdn.ple.platoweb.com/EdAssets/a90d2e4c572b4ccba84aa60421369c5d?ts=635440253687400000

____________________ has an area of c2 square units. In figure 2, ______________ is a2 square units, while ________________ is b2 square units.
Given that __________________ , it can be concluded that c2 = a2 + b2.

Answer 2

What have you done so far? I immediately see in the illustration one shape that has an area of c^2 square units. Which shape is that?

Answer 3

The white square has c^2

Answer 4

There are two "large" white squares. Only one of them has an area of c^2. Which one?

Answer 5

Oops my bad, I just realized. The one on the left.

Answer 6

We'll need to look carefully at the one on the right. Perhaps that one also has an area of c^2.

Next set of given facts: All of the triangles are congruent, and they have leg lengths of a and b, with hypotenuse c, as marked in figure 1. There's a triangle right next to the large square on the left. What is the length of the hypotenuse of that triangle?

Answer 7

Separate question for you: In figure 2, ______________ is a^2 square units, while ________________ is b^2 square units. Notice how I am using " ^ " to denote exponentiation. This is important.

Answer 8

Once again: All of the triangles are congruent. That means every triangle has a hypotenuse of c, a short leg of a and a longer leg of b. Keep this in mind as you answer the questions above.

Answer 9

Welcome to OpenStudy. Sorry that this, your first session, hasn't yet worked out well.
To give you maximum help, I need your involvement. Please stick around for a while (even 5 or 10 minutes would be nice) after posting a question, OK?