Conjecture of similar rectangles triangles
- Thread starter Jchavez
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HallsofIvy
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First, only a right triangle has a "hypotenuse" so this can't be true for "any" triangle.
Second, what do you mean by "infinite decimals"? A number, written in decimal form only has "finite decimals" (is a "terminating decimal") if and only if it is a fraction with, reduced to lowest terms, only powers of 2 and 5 in its denominator. A rational number with any number other than 2 and 5 in its denominator is a repeating decimal, an irrational number is a non-repeating decimal.
Second, what do you mean by "infinite decimals"? A number, written in decimal form only has "finite decimals" (is a "terminating decimal") if and only if it is a fraction with, reduced to lowest terms, only powers of 2 and 5 in its denominator. A rational number with any number other than 2 and 5 in its denominator is a repeating decimal, an irrational number is a non-repeating decimal.
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Are you saying (in the highlighted portion above) that the statement is a "given" that you are instructed to "prove"? If so, what have you tried so far? Where are you stuck? If not, what are you supposed to do with the posted statement? What were the instructions? How far have you gotten in your solution?
Please be complete. Thank you!
