SOLUTION: The base of a triangle is one-half as long as its height. If the area of the triangle is 169 square yards, find its height.

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Question 1123790: The base of a triangle is one-half as long as its height. If the area of the triangle is 169 square yards, find its height.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the height of the triangle in yards, which is under the question.


Then the base is  x%2F2,  according to the condition.


The area of a triangle is half the product the base and the height. So, in our case


%281%2F2%29%2Ax%2A%28x%2F2%29 = 169,   or


x%5E2 = 4*169.


Then  x = sqrt%284%2A169%29 = 2*13 = 26 yards.