document.write( "Question 1058708: Hi, I am having trouble with part b of this question.
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document.write( "A piece of wire is 60cm long and is bent to form a right-angled triangle having the hypotenuse of 25cm with the other sides being x and y.
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document.write( "a) Express y in terms of x.
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document.write( "y=60-25-x
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document.write( "y=35-x
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document.write( "b) Use the Pythagoras Theorum to write an equation in x. Hence find the length of the other two sides of the triangle. \n" );
document.write( "
Algebra.Com's Answer #673803 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A piece of wire is 60cm long and is bent to form a right-angled triangle having the hypotenuse of 25cm with the other sides being x and y. \n" ); document.write( "a) Express y in terms of x. \n" ); document.write( "y=60-25-x \n" ); document.write( "y=35-x \n" ); document.write( "b) Use the Pythagoras Theorum to write an equation in x. Hence find the length of the other two sides of the triangle. \n" ); document.write( "------ \n" ); document.write( "x^2 + y^2 = 25^2 \n" ); document.write( "x + y = 35 \n" ); document.write( "y = 35 - x \n" ); document.write( "--- \n" ); document.write( "x^2 + (35-x)^2 = 625 \n" ); document.write( "2x^2 - 70x + 600 = 0 \n" ); document.write( "x^2 - 35x + 300 = 0 \n" ); document.write( "(x-15)*(x-20) = 0 \n" ); document.write( "x = 15, 20 \n" ); document.write( "y = 20, 15 \n" ); document.write( " \n" ); document.write( " |