anonymous
  • anonymous
What is the area of a square with a diagonal of 8 cm
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
use trig to solve for the top and bottom then use the b*h = Area to solve
anonymous
  • anonymous
Knowing that a square all sides are the same length thus once you find the length of one side all other will be equal, this would also be a right angle triangle

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sandra
  • sandra
Yes this can be solved with geometry/algebra. What do you know about diagonals of triangles with two equal sides? [use pythagorean theorem]
anonymous
  • anonymous
Let side of square be = x cm Using Pythagoras Theorem, Diagonal^2 = side^2 + side^2 means 8 = x^2 + x^2 8 = 2x^2 4 = x^2 2 = x so side of square is 2 cm so its area = side*side = 2 cm * 2 cm = 4 cm^2

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