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May 10th, 2012, 09:07 AM   #1
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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.
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May 10th, 2012, 09:35 AM   #2
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Re: Shortest distance triangle

Yes, the shortest distance from a point to a line is the perpendicular distance.
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May 10th, 2012, 09:38 AM   #3
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Re: Shortest distance triangle

The height is indeed the shortest distance between the point A and the opposit side.
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May 10th, 2012, 09:44 AM   #4
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Re: Shortest distance triangle

Great!

Thanks!
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