ian0205huang
ian0205huang ian0205huang
  • 22-06-2021
  • Mathematics
contestada

A square has the same perimeter as a triangle. The triangle's area is 16 root 3. What is the hypotenuse of the square?

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abidemiokin
abidemiokin abidemiokin
  • 27-06-2021

Answer:

12\sqrt{2}

Step-by-step explanation:

To get the hypotenuse, first we need to get the side length of the square

Area of the square = L²

16\sqrt{3} = L²

L = 4×3

L = 12

Using pythagiras theorem to get the hypotenuse

Hyp² = 12²+12²

Hyp² = 144+144

Hyp² = 288

Hyp = \sqrt {288}

Hyp = 12\sqrt{2}

Hence the hypotenuse of the square is 12\sqrt{2}

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