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Lynna [10]
4 years ago
10

3 inches to the nearest 1/2 inch

Mathematics
1 answer:
DaniilM [7]4 years ago
8 0

Answer:

6

Step-by-step explanation:

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The shortest leg of a triangle is 1 feet shorter than the other leg.The hypotenuse of this triangle is 5 feet. what are the leng
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Answer:

  • shortest: 3 ft
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Step-by-step explanation:

The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.

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<em>Alternate solution</em>

If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...

  5^2 = (x)^2 +(x -1)^2

  25 = 2x^2 -2x +1

  12 = x^2 -x = x(x -1)

Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4

The "other" leg is 4 ft; the shortest leg is 3 ft.

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3 years ago
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Amiraneli [1.4K]
Substitute
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What is "K" in math
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K is the constant in a table or equation. like k=x•y
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