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  • 21-01-2020
  • Mathematics
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Find the Perimeter of a 45-45-90 triangle when one leg is 7.
A. 21√2
B. 14 +7√2
C. 28√2
D. 14√2

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sqdancefan
sqdancefan sqdancefan
  • 21-01-2020

Answer:

  B.  14 +7√2

Step-by-step explanation:

The lengths of the two legs are the same: 7.

The length of the hypotenuse is √2 times the length of a leg, so is 7√2.

The perimeter is the sum of the lengths of the sides:

  P = 7 + 7 + 7√2

  P = 14 +7√2 . . . . . matches choice B

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