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Consider the situation when: the right-angled triangles are also isosceles and the hypotenuse (longest side) of the triangles is equal to the side of the square.

If you surround a square with four of right-angled triangles (the sides of the square being in contact with the hypotenuses of the triangles), you get a larger shape which is also a square. Taking this as a basic unit, you can make a tesselations.

You can also make tessalations if you have two sets of squares, one with sides the same length of the hypotenuse of the triangles and one with sides the same length as the smaller sides of the triangles.

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โˆ™ 2013-04-21 09:44:35
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Q: Will a pattern of right triangles and squares tessellate?
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Related questions

What shapes have right angles?

squares, right triangles, rectangles

How are right triangles and squares related?

they have at least one right angle. A square is the union of two isosceles right triangles. The hypotenuse of each triangle is the diagonal of the square.

Do triangles and squares have right angles?

A square has 4 right-angles. A right-angle triangle has 1 right-angle

Does a rhombus with no right angles tessellate?

All Rhombuses tessellate.

What do you know about the angles and the linesegments of triangles?

Triangles are joined together by 3 line segments Triangles have 3 interior angles that add up to 180 degrees Triangles have 3 exterior angles that add up to 360 degrees Triangles have no diagonals Triangles will tessellate Triangles can be scalene, obtuse, right angle, isosceles or equilateral Triangles have a perimeter which is the sum of their 3 sides

Is all squares can be cut in half to make 2 congruent triangles a generalization?

no its an emphatic statement all squares can be cut in half to make 2 congruent isosceles right triangles is perhaps as general a statement as is possible

What are small squares on a selected rectangle?

The small squares are indicators that the angles are right angles, which are found in shapes such as rectangles, squares and right-angled triangles. A right angle is 90 degrees, 1 quarter of 360 degrees, a full turn, such as a circle. I hope this helps ^^

What shapes contain right angles?

Squares, rectangles, and some triangles, most commonly. Any polygon could have a right angle if it is irregular.

Does a a rectangle tessellate with a right rectangle?

All 4 sided quadrilaterals will tessellate

How does the pythagorean theorem relate the sides length of a right triangles?

The sum of the squares of the sides adjacent to the right angle equals the square of the side opposite it.

How do you make a parallelogram that is not a square from 4 identical isosceles right triangles?

Two isosceles right triangles, if joined hypotenuse-to-hypotenuse will make a square. Two squares, sided by side, make a rectangle which is a parallelogram, and not a square.

Theorem is this describing In a right triangle the sum of the squares of the leg lengths is equal to square of the hypotenuse length.?

It is Pythagoras' theorem that is applicable to right angle triangles.

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