This picture shows a proof of the Pythagorean theorem because(1 point)Responsesa = b = c, so the Pythagorean theorem holds true.a = b = c, so the Pythagorean theorem holds true.The four yellow triangles are congruent in both large squares and the large squares are congruent, so c2=a2+b2c2=a2+b2The four yellow triangles are congruent in both large squares and the large squares are congruent, so c squared is equal to A squared plus b squareda < b < c, so the Pythagorean theorem holds true.a < b < c, so the Pythagorean theorem holds true.The yellow triangles fill up the large squares just enough to have a small square in each figure.The yellow triangles fill up the large squares just enough to have a small square in each figure.

3 answers

The four yellow triangles are congruent in both large squares and the large squares are congruent, so c^2 = a^2 + b^2. This demonstrates the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
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