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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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).
