document.write( "Question 1173186: The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the triangle and the length of the base. \n" ); document.write( "

Algebra.Com's Answer #798362 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi  
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document.write( "The height of a triangle is 2 m more than twice the length of the base (x)
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document.write( "b is x 
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document.write( "h is (2x+2)
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document.write( "A = (1/2)b*h
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document.write( "30m^2 = (1/2)x(2x+2)
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document.write( "60 = 2x^2 + 2x
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document.write( "2x^2 + 2x - 60 = 0
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document.write( "Solve with the Pythagorean Theorem
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document.write( "Tossing out negative solution for length
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document.write( "x = 5m , the length
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document.write( "h =  (2x+2) = 12m
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document.write( "checking our Answer:
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document.write( "(5m)(12m) = 60m^2  Checks!
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document.write( "Wish You the Best in your Studies. \n" );
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