redbeanmochi7 redbeanmochi7

23-01-2024
Mathematics

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you are given the right triangle ABC to the right with legs of lengths AB=3 and AC=6.

we are going to inscribe a square in this triangle, so that one vertex of the square is a point A and another vertex is on the hypotenuse of BC.

1. determine the side length of the inscribed square (hint - think about similar triangles - can you see any?) you might need to use some variables - maybe for the side length of the square?
2. what if the original right triangle had legs of 4.5 and 12.5, then what would the side length of the square be?
3. is the original right triangle had legs of a and b, what would the side length of the square be in terms of a and b?

you are given the right triangle ABC to the right with legs of lengths AB3 and AC6 we are going to inscribe a square in this triangle so that one vertex of the class=

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