Answer:
A maximum of 3 different sized squares can be formed from the 52 identical isosceles right triangles.
Step-by-step explanation:
A square is a plane shape that has the length of all its sides to be equal. While an isosceles triangle is one that has two equal sides and angles. A right angle isosceles triangle has a right angle, while other two angles are [tex]45^{0}[/tex] each.
To form a square, 2 right angles isosceles triangles are required. Since there are 52 identical isosceles right triangles, the number of different sized squares she would make would be:
The number of triangles required to form different sized squares are;
the first square requires 2 triangles
the second square of different size requires 8 triangles
the third square of different size requires 18 triangles
So that, 2 + 8 + 18 = 28 triangles has been used. But the next square would require 32 triangles.
Therefore, 3 different sized squares can be formed from the 52 identical isosceles right triangles.
