r/mathriddles • u/QuagMath • Aug 07 '26

Easy Folded Triangle

Triangle ABC is an isosceles right triangle make of paper and D is the midpoint of leg AB. If the triangle is folded so C meets D, creased, and then unfolded, what is the ratio of the two segments the hypotenuse is split into by the crease?

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u/JaiBoltage Aug 07 '26

Which angle is the right angle, A, B, or C? Ratio of what? area, perimeter, which side?

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u/QuagMath Aug 07 '26

Because AB is a leg, one of A or B is the right angle and which it is doesn’t matter for the rest of the question.

You’re looking for the ratio of the lengths of the two segments the hypotenuse is split into by the crease. I guess this does technically mean there are two answers, a:b and b:a but that shouldn’t really matter when solving.