Asked by Judy
a right triangle has a hypotenuse that is 59 miles long. One side is 1.05 longer than the other. What are the lengths of the two legs
Answers
Answered by
Damon
a^2 + (a+1.05)^2 = 59^2
a^2 + a^2 + 2.1 a + 1.1025 = 3481
2 a^2 + 2.1 a = 3480
a^2 + 1.05 a - 1740 = 0
https://www.wolframalpha.com/input/?i=a^2+%2B+1.05+a+-+1740
a = 41.2
b = 42.2
a^2 + a^2 + 2.1 a + 1.1025 = 3481
2 a^2 + 2.1 a = 3480
a^2 + 1.05 a - 1740 = 0
https://www.wolframalpha.com/input/?i=a^2+%2B+1.05+a+-+1740
a = 41.2
b = 42.2
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