Difference between revisions of "2021 Fall AMC 12B Problems/Problem 8"

(Solution)
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Still working, please don't edit now!
 
Still working, please don't edit now!
  
~William Z
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~Wilhelm Z
  
 
==See Also==
 
==See Also==

Revision as of 22:03, 23 November 2021

Problem

The product of the lengths of the two congruent sides of an obtuse isosceles triangle is equal to the product of the base and twice the triangle's height to the base. What is the measure, in degrees, of the vertex angle of this triangle?

$\textbf{(A)} \: 105 \qquad\textbf{(B)} \: 120 \qquad\textbf{(C)} \: 135 \qquad\textbf{(D)} \: 150 \qquad\textbf{(E)} \: 165$

Solution

Still working, please don't edit now!

~Wilhelm Z

See Also