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Bond [772]
2 years ago
5

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.
Mathematics
1 answer:
Tju [1.3M]2 years ago
5 0

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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