document.write( "Question 948931: What is the height of an equilateral triangle with sides that are 12 cm long? Round to the nearest tenth.
\n" ); document.write( "a. 6 cm b. 10.4 cm c. 8.5 cm d. 6.9 cm\r
\n" ); document.write( "\n" ); document.write( "A courtyard is shaped like a square with 250-ft-long sides. What is the distance from one corner of the courtyard to the opposite corner? Round to the nearest tenth.
\n" ); document.write( "a. 353.6 ft b. 500 ft c. 433 ft d. 176.8 ft\r
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Algebra.Com's Answer #579230 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
A.) The height of an equilateral triangle forms a right triangle with one side as the hypotenuse and half of one side as a leg. The height is the other leg, so
\n" ); document.write( "a is 1/2 length of side =1/2(12 cm)=6cm
\n" ); document.write( "b is the height b=h
\n" ); document.write( "c is the hypotenuse, one of the sides=12cm
\n" ); document.write( "\"+a%5E2%2Bb%5E2=c%5E2\",
\n" ); document.write( "\"%286+cm%29%5E2%2Bh%5E2=%2812+cm%29%5E2\"
\n" ); document.write( "\"36+sq+cm+%2B+h%5E2=144+sq+cm\" subtract 36 sq cm from each side.
\n" ); document.write( "\"h%5E2=108+cm\" Find square root of each side.
\n" ); document.write( "h=10.4 cm ANSWER: The height is 10.4 cm. Answer B is correct.\r
\n" ); document.write( "\n" ); document.write( "B.) s=length of side; d=diagonal
\n" ); document.write( "\"d=sqrt%282%29s\"
\n" ); document.write( "\"d=sqrt%282%29%28250+ft%29\"
\n" ); document.write( "\"d=1.414%28250+ft%29\"
\n" ); document.write( "d=353.6 feet ANSWER: The length of the diagonal is 353.6 feet. Answer A is correct.
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