Difference between revisions of "2014 AMC 10B Problems/Problem 21"
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==Problem== | ==Problem== | ||
Trapezoid <math> ABCD </math> has parallel sides <math> \overline{AB} </math> of length <math> 33 </math> and <math> \overline {CD} </math> of length <math> 21 </math>. The other two sides are of lengths <math> 10 </math> and <math> 14 </math>. The angles <math> A </math> and <math> B </math> are acute. What is the length of the shorter diagonal of <math> ABCD </math>? | Trapezoid <math> ABCD </math> has parallel sides <math> \overline{AB} </math> of length <math> 33 </math> and <math> \overline {CD} </math> of length <math> 21 </math>. The other two sides are of lengths <math> 10 </math> and <math> 14 </math>. The angles <math> A </math> and <math> B </math> are acute. What is the length of the shorter diagonal of <math> ABCD </math>? | ||
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+ | <math> \textbf{(A) }10\sqrt{6}\qquad\textbf{(B) }25\qquad\textbf{(C) }8\sqrt{10}\qquad\textbf{(D) }18\sqrt{2}\qquad\textbf{(E) }26 </math> | ||
==Solution== | ==Solution== |
Revision as of 12:33, 20 February 2014
Problem
Trapezoid has parallel sides of length and of length . The other two sides are of lengths and . The angles and are acute. What is the length of the shorter diagonal of ?
Solution
See Also
2014 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
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All AMC 10 Problems and Solutions |
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