What is the area of a square with a diagonal of 8 cm

Question

anonymous · Answer

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anonymous · Answer

use trig to solve for the top and bottom then use the b*h = Area to solve

anonymous · Answer

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

sandra · Answer

Yes this can be solved with geometry/algebra.  What do you know about diagonals of triangles with two equal sides?  [use pythagorean theorem]

anonymous · Answer

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