The squares of doom.
Geometry
Level
pending
Below shows 2 identical right angled triangles with a square in each of them. If the square inscribed in the first triangle is 50cm^2, find the length of the second square in the second triangle.
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1 solution
The squares are not the same and I am asking for a side. The figures should be divided like this.
The first triangle is divided into 8 parts and the other into 9 parts.
So the first square is 4/8 of the figure and the second square is 4/9 of the figure.
Since the triangles are the same we should find them first.
4/8 is 50cm^2 so multiply that by 2 and get 8/8 is 100cm^2
4/9 of 100cm^2 = 400/9 cm^2
Since we need to find the side of the square we must take the square root of
9
4
0
0
=
3
2
0
cm^2 as our answer.