College Algebra CLEP Prep Practice Exam

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Suppose a certain triangle has an area of 20. If the base of the triangle is 5, what is the height of the triangle?

  1. 6

  2. 8

  3. 10

  4. 12

The correct answer is: 8

Since the area of a triangle is equal to 1/2 of its base times its height, we can set up an equation where 20=1/2 x 5 x h (where h represents the height). Solving for h, we get h= 8. This means that the height of the triangle is 8 units. Option A (6) cannot be the height, as 20 is not a multiple of 3. Option C (10) cannot be the height, as 20 is not a multiple of 2. Option D (12) cannot be the height, as that would make the area of the triangle 30 (not 20 as given in the question).

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