SOLUTION: the base of a triangle is twice its height. if the area of the triangle is 24, what is the height of the triangle?

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Question 1044256: the base of a triangle is twice its height. if the area of the triangle is 24, what is the height of the triangle?
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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the base of a triangle is twice its height. if the area of the triangle is 24, what is the height of the triangle?
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The area of a triangle is 

S = ,    (1)

where "a" is the base length and "h" is the altitude.


We are given that a = 2h and the area is 24 square units. Substitute it into (1), and you will get an equation 

 = 24,  or

 = 24.

Hence, h =  =  =  = 4.9 units (approximately).

Answer.  The height is  = 4.9 units (approximately).



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