document.write( "Question 277939: The legs (base and height) of a right triangle are 3m and 4m. if the height of a similar right triangle is 2m, what is the other leg?\r
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document.write( "'I have an answer but I'm not sure of it.\r
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document.write( "I would be grateful for any assistance. Thank you. \n" );
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Algebra.Com's Answer #202306 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if the triangles are similar, then their corresponding sides are proportional.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The side that is 3 on the first triangle is corresponding to the side that is 2 on the other triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "likewise the side that is 4 on the first triangle is correspond to the side that is x on the other triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ratio would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3/2 = 4/x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cross multiply to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 3 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 8/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The other leg is 8/3 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |