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Math Forum » Discussions » Math Topics » geometry.pre-college.independent

Topic: Height of a Triangle
Replies: 12   Last Post: Feb 23, 2004 11:25 PM

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G.E. Ivey

Posts: 3,857
Registered: 12/3/04
Re: Answer to height of the triangle
Posted: Jul 26, 2003 10:31 AM
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Nithya wrote:

>Here is how you can find the height of the triangle without computing
>the angles when all the sides are known.

>height = 2*sqrt(s(s-a)*(s-b)*(s-c))/a

>where
>a = base of the triangle.
>s = (a+b+c)/2

Yes, Q= sqrt(s(s-a)(s-b)(s-c)) is Heron's formula for the area of
a triangle.

Since A= (1/2)ah, h= 2A/a= 2*sqrt(s(s-a)*(s-b)*(s-c))/a

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