Question

Three squares were used to form the right triangle below.



Drag and drop the applicable responses to find the area of Square R.

Using the Pythagorean Theorem:

+
=
which results in

+ = which makes the

area of Square R .



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Answer 1

I can fill the blanks, but I don’t see the diagram or the numbers for the two small squares. I need the side lengths or the areas shown in the picture to compute Square R. Could you either paste the image or tell me the two given numbers?

Meanwhile, here’s how to complete the sentence and how to compute Square R:

- Using the Pythagorean Theorem:
a^2 + b^2 = c^2
which results in
(a^2) + (b^2) = (c^2)
which makes the area of Square R = a^2 + b^2.

If the two small squares have areas A and B (they sit on the triangle’s legs), then area(Square R) = A + B.

Example: if the legs are 6 and 8, then
- 6^2 + 8^2 = 10^2
- 36 + 64 = 100
So the area of Square R = 100.

Send the numbers from your diagram and I’ll fill the exact blanks.