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A piece of paper in the shape of ABC

has edges of lengths 6 cm, 8 cm, and
10 cm. It is folded so that point A lies
on top of point B. Find the length of
the crease.

A piece of paper in the shape of ABC has edges of lengths 6 cm, 8 cm, and 10 cm. It-example-1
User NoobGeek
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1 Answer

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To find the length of the crease, we can imagine unfolding the paper and drawing a straight line segment connecting points A and B.

Since the paper is in the shape of a right triangle, with sides measuring 6 cm, 8 cm, and 10 cm, we know that angle ABC is a right angle.

To find the length of the crease, we can use the Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides (6 cm and 8 cm in this case), and c is the length of the hypotenuse (the crease).

Plugging in the values, we have:

6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2

Taking the square root of both sides, we have:

c = √100 = 10

Therefore, the length of the crease is 10 cm.
User Nateleavitt
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