To find the side lengths of squares given their areas, you would take the square root of the area. Let's denote the areas of the squares as ( A_1 ) and ( A_2 ), and their corresponding side lengths as ( s_1 ) and ( s_2 ).Finding Side Lengths from Areas:For the first square: ( s_1 = \sqrt{A_1} )For the second square: ( s_2 = \sqrt{A_2} )Using the Converse of the Pythagorean Theorem:If the squares with side lengths ( s_1 ) and ( s_2 ) satisfy the condition ( s_1^2 + s_2^2 = c^2 ), where ( c ) is the length of the hypotenuse of a right triangle, then the squares form a right triangle.So, if ( s_1 ) and ( s_2 ) are the side lengths of squares and they satisfy the condition ( s_1^2 + s_2^2 = c^2 ), where ( c ) is the length of the hypotenuse of a right triangle, then the squares form a right triangle.If you have specific values for ( A_1 ) and ( A_2 ), I can calculate the side lengths and then check if they satisfy the condition for the converse of the Pythagorean Theorem.
