Difference between revisions of "2017 AMC 10B Problems/Problem 8"

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==Problem==
 
==Problem==
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Points <math>A(11, 9)</math> and <math>B(2, -3)</math> are vertices of <math>\triangle ABC</math> with <math>AB=AC</math>. The altitude from <math>A</math> meets the opposite side at <math>D(-1, 3)</math>. What are the coordinates of point <math>C</math>?
  
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<math>\textbf{(A)}\ (-8, 9)\qquad\textbf{(B)}\ (-4, 8)\qquad\textbf{(C)}\ (-4, 9)\qquad\textbf{(D)}\ (-2, 3)\qquad\textbf{(E)}\ (-1, 0)</math>
 
==Solution==
 
==Solution==
 
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Revision as of 12:38, 16 February 2017

Problem

Points $A(11, 9)$ and $B(2, -3)$ are vertices of $\triangle ABC$ with $AB=AC$. The altitude from $A$ meets the opposite side at $D(-1, 3)$. What are the coordinates of point $C$?

$\textbf{(A)}\ (-8, 9)\qquad\textbf{(B)}\ (-4, 8)\qquad\textbf{(C)}\ (-4, 9)\qquad\textbf{(D)}\ (-2, 3)\qquad\textbf{(E)}\ (-1, 0)$

Solution

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See Also

2017 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

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