2003 AMC 8 Problems/Problem 21
Problem
The area of trapezoid is . The altitude is 8 cm, is 10 cm, and is 17 cm. What is , in centimeters?
Solution
Using the formula for the area of a trapezoid, we have . Thus . Drop perpendiculars from to and from to and let them hit at and respectively. Note that each of these perpendiculars has length . From the Pythagorean Theorem, and thus . Substituting back into our original equation we have thus
2003 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
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All AJHSME/AMC 8 Problems and Solutions |