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A square has a diagonal that is 26 feet long.
What is the perimeter of this square?

A square has a diagonal that is 26 feet long. What is the perimeter of this square-example-1

1 Answer

5 votes

answer:

52
√(2)

Explanation:

  • we can use the 45-45-90 triangle theorem for this: x, x, x
    √(2)

this is because this is a square

  • squares have two sides of the same length, and the diagonal is different
  • the x's stand for the sides, whereas the x
    √(2) stands for the diagonal

x
√(2) = 26

x = 13
√(2)

  • now multiply this by 4 because this is the length of one of the sides of the square. in order to find the perimeter we have to either add this four times or multiply by 4

13
√(2) X 4 = 52
√(2)

User KJAWolf
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