Question
5. Develop a new verification of the Pythagorean theorem using the diagram in Figure 1.34. Observe that the figure contains four right triangles and
5. Develop a new verification of the Pythagorean theorem using the diagram in Figure 1.34. Observe that the figure contains four right triangles and a square, but the configuration is different from that in Figure 1.3. Now we have a large square in a tilted position inside the main square. Using the labels provided in the figure, observe that the area of each right triangle is ab/2. And the area of the inside square is 2. Finally, the area of the large, outside square is (a + b)?. Put all this information together to derive Pythagoras's formula.
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A Survey of Mathematics with Applications
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
10th edition
134112105, 134112342, 9780134112343, 9780134112268, 134112261, 978-0134112107
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