# SOLUTION: Can someone help me with this word problem? The base of a triangle is one-third as long as its height. If the area of the triangle is 24 sq. meters, how long is its base? Please sh

Algebra ->  Algebra  -> Triangles -> SOLUTION: Can someone help me with this word problem? The base of a triangle is one-third as long as its height. If the area of the triangle is 24 sq. meters, how long is its base? Please sh      Log On

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 211572This question is from textbook : Can someone help me with this word problem? The base of a triangle is one-third as long as its height. If the area of the triangle is 24 sq. meters, how long is its base? Please show me the steps and please get back before Tues. 10am. Thanks so much This question is from textbook Found 2 solutions by checkley77, scott8148:Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!AREA=BH/2 B=H/3 24=[(H/3)H]/2 24=(H^2/3)/2 24=H^2/3*1/2 24=H^2/6 H^2=24*6 H^2=144 H=SQRT144 H=12 METERS FOR THE HEIGHT. B=12/3=4 METERS FOR THE BASE PROOF. 24=4*12/2 24=48/2 24=24 Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!A = 1/3 (b)(h) h = 3 b A = 1/3 (b)(3b) 24 = b^2 sqrt(24) = b ___ 2 sqrt(6) = b