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spin [16.1K]
3 years ago
15

I need help with this question plzzz Geometry

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0

Answer:

  • If the perimeter of a square measures 32 cm, each side measures 32/4= 8 cm, because all sides are equal.
  • The diagonal that passes through the center of the square divides the square into two triangles. The triangles are formed by a <u>hypotenuse </u>(the diagonal, which is k in this case), <u>and two sides,</u> that measure 8 cm each, in this case.
  • Because of Pythagoras' theorem, we know that the <u>lenght of the hypotenuse</u> (in this case the hypotenuse is k) equals the squared root of the sum of the squared sides, which in this case can be expressed as k=\sqrt{8^2+8^2} =\sqrt{64+64}=\sqrt{128}=11.31.
  • Then, k=11.31 cm.

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