2007 AMC 8 Problems/Problem 14
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Contents
[hide]Problem
The base of isosceles is and its area is . What is the length of one of the congruent sides?
Solution
The area of a triangle is shown by . We set the base equal to , and the area equal to , and we get the height, or altitude, of the triangle to be . In this isosceles triangle, the height bisects the base, so by using the Pythagorean Theorem, , we can solve for one of the legs of the triangle (it will be the the hypotenuse, ). , , . The answer is
Video Solution by WhyMath
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See Also
2007 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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