Best Answer

Yes.

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.

Q: Will a pattern of right triangles and squares tessellate?

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

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

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 ^^

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

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.

Related questions

squares, right triangles, rectangles

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.

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

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

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

No because a square fas 4 sides whereas a triangle has 3 sides

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 ^^

All Rhombuses tessellate.

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

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

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.

All 4 sided quadrilaterals will tessellate