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How many triangles can you make with 4 cm 5 cm 6 cm and 7 cm without taking any of them apart?
Wiki User
∙ 8y ago
Assuming you mean by combining 3 of the 4 given lengths.
To make a triangle the sum of the two shorter sides must be greater than the third side; thus there are:
Without repeats of length: 4 possible triangles.
With repeats of length:
The smallest length is 4cm with two of this length, the sum is 8cm which is greater than the longest length given (7cm), thus there are no impossible triangles with the given lengths.
So there are 20 possible triangles.
Wiki User
∙ 8y ago
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Will a pattern of right triangles and squares tessellate?
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.
