Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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