College Algebra CLEP Prep Practice Exam

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Find the area of the triangle if the lengths of two sides are 8 and 6 and the angle between them is 60°.

  1. 12√3

  2. 24

  3. 24√3

  4. 48

The correct answer is: 24√3

To find the area of a triangle, we can use the formula A = 1/2 * b * h, where b is the length of the base and h is the height of the triangle. In this case, we are given two sides of the triangle, 8 and 6, and the angle between them, 60°. We can use the law of cosines to find the length of the third side, which is √64+36-2(8)(6)cos(60) = √64+36-12 = √88. Now, since we have all three sides of the triangle, we can use Heron's formula to find the area. Heron's formula states that the area of a triangle with sides a, b, and c is √s(s-a)(s-b)(s-c), where s is the semi

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