document.write( "Question 925018: if the square root of a right triangle's hypotenuse is 10 and one of the legs is 28. What is the length of the last leg of the right triangle?
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Algebra.Com's Answer #561264 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Using the usual notation of a right triangle the sides are a nd b and the hypotenuse is c, we have \n" ); document.write( "(1) c^2 = a^2 + b^2 \n" ); document.write( "We are given that c= 100 and b = 28. \n" ); document.write( "Using (1) we have \n" ); document.write( "(2) a^2 = c^2 - b^2 or \n" ); document.write( "(3) a^2 = 100^2 - 28^2 or \n" ); document.write( "(4) a^2 = 10000 - 784 or \n" ); document.write( "(5) a^2 = 9216 or \n" ); document.write( "(6) a = sqrt(9216) or \n" ); document.write( "(7) a = 96 \n" ); document.write( "Let's use (1) to check the answer. \n" ); document.write( "Is (100^2 = 96^2 + 28^2)? \n" ); document.write( "Is (10000 = 9216 + 784)? \n" ); document.write( "Is (10000 = 10000)? Yes \n" ); document.write( "Answer: The last leg of the right triangle is 96. \n" ); document.write( " |