Corner Base

Corner Base

A square is drawn in side a triangle with sides 3, 4 and 5 such that one corner of t?

A square is drawn in side a triangle with sides 3, 4 and 5 such that one corner of the square touches the side 3 of the triangle, another corner touches the side 4 of the triangle, and the base of the square rests on the longest side of the triangle. What is the side of the square?

draw the picture. use similar triangles to get ratios. solve for x (the side of the square)
x = 60/37
area = x^2 = 2.62965668

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