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May 10th, 2012, 09:07 AM  #1 
Newbie Joined: May 2012 Posts: 17 Thanks: 0  Shortest distance triangle
Hi I have another question that I need to get confirmed that I've done it correct. "In triangle ABC, BC = 6.8 cm, angle B = 54° and angle C = 43°. Find the shortest distance from point A (angel A) to side BC." This is how I solved it. The shortest distance from point A to side BC, is the height of the triangle, isn't it? The key says the answer is 3.8 cm. I was just wondering if I'm thinking correct, that the height from point A to side BC is the shortest distance. 
May 10th, 2012, 09:35 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 461 Math Focus: Calculus/ODEs  Re: Shortest distance triangle
Yes, the shortest distance from a point to a line is the perpendicular distance.

May 10th, 2012, 09:38 AM  #3 
Member Joined: Mar 2012 Posts: 60 Thanks: 0  Re: Shortest distance triangle
The height is indeed the shortest distance between the point A and the opposit side. 
May 10th, 2012, 09:44 AM  #4 
Newbie Joined: May 2012 Posts: 17 Thanks: 0  Re: Shortest distance triangle
Great! Thanks! 

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