document.write( "Question 1209519: (38) Find the value of w.
\n" ); document.write( "Link to diagram: https://ibb.co/202BWZT9 \n" ); document.write( "
Algebra.Com's Answer #849139 by CPhill(1959)\"\" \"About 
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In a square, the diagonal divides the square into two right-angled triangles. The sides of the square form the legs of the right triangle, and the diagonal is the hypotenuse.\r
\n" ); document.write( "\n" ); document.write( "We can use the Pythagorean theorem to find the length of the diagonal (w). The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): a² + b² = c²\r
\n" ); document.write( "\n" ); document.write( "In this case, the sides of the square are a = 10 and b = 10, and the diagonal is c = w. So:\r
\n" ); document.write( "\n" ); document.write( "10² + 10² = w²
\n" ); document.write( "100 + 100 = w²
\n" ); document.write( "200 = w²\r
\n" ); document.write( "\n" ); document.write( "To find w, we take the square root of both sides:\r
\n" ); document.write( "\n" ); document.write( "w = √200
\n" ); document.write( "w = √(100 * 2)
\n" ); document.write( "w = 10√2\r
\n" ); document.write( "\n" ); document.write( "Therefore, the length of the diagonal (w) is 10√2.
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