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A square is inscribed in a right triangle, as shown below. The legs of the triangle are 1 and 3. Find the area of the square.

 

 May 7, 2024
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Side of the square =  [product of leg lengths ] /  [ sum of leg lengths ] =  [ 1 * 3 ] /  [ 1 + 3] =   3 / 4

 

Area of square  =  [3/4]^2 =  9 / 16

 

cool cool cool

 May 7, 2024

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