College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP exam with our comprehensive quiz. Our engaging questions, hints, and detailed explanations will help ensure you're ready to ace your test and earn college credit faster!

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is the area of a triangle with sides of length 3, 5, and 6?

  1. 8.25

  2. 9.25

  3. 20

  4. 24

The correct answer is: 9.25

To find the area of a triangle, we can use the formula (base * height)/2. In this case, the base and height of the triangle are unknown. Therefore, we can use the Heron's formula to calculate the area. However, Heron's formula requires the lengths of all three sides of the triangle. The given lengths (3, 5, and 6) do not form a possible triangle as per the Triangle Inequality Theorem. This theorem states that the sum of any two sides of a triangle must always be greater than the third side. In this case, the sum of the two sides 3 and 5 is not greater than the third side 6. Therefore, the triangle cannot exist. Therefore, none of the options provided are the correct answer.

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