If the square root of 61 is the longest side length in the triangle and the shorter sides are x and x+1, find the value of x tha
t makes the triangle above a right triangle. Write your answer in simplest radical form.
1 answer:
Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.
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Step-by-step explanation:
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Step-by-step explanation:
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