A rhombus is a parallelogram in which all four sides have equal length. Show that the diagonals
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A rhombus is a parallelogram in which all four sides have equal length. Show that the diagonals of a parallelogram are perpendicular if and only if the parallelogram is a rhombus. Take an approach similar to the solution in Example 5, and consider x · y.
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EXAMPLE 5 Figure 7 shows a parallelogram whose diagonal lengths are x and y and whose side lengths are a and b. Prove that x² + y² 2 a = a² + b²
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so that Using the same notation as in Example 5 we h...View the full answer
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