Natural right (S). Suppose r and s are any two natural numbers where r is bigger than s. Using the converse of the Pythagorean Theorem that appears at the end of Mindscape 22, show that the triangle having side lengths equal to
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- a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?arrow_forwardThe diagram shown in Figure 1 was used by the Hindu mathematician Bhaskara to prove the theorem in the 12th century. His proof consisted only of the diagram and the word Behold! Use this figure to derive the Pythagorean Theorem. The right triangle with sides a, b, and c has been repeated three times. The area of the large square is equal to the sum of the areas of the four triangles and the area of the small square in the center. The key to this derivation is in finding the length of a side of the small square. Once you have the equation, simplify the right side to obtain the theorem. Figure 1arrow_forwardShow that there is no triangle for which a=4 feet, b=14 feet, and A=60.arrow_forward
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