Question 145756: How do you find the hieght of a triangle if you already know the measurements of all three sides? Found 2 solutions by jojo14344, jim_thompson5910:Answer by jojo14344(1513) (Show Source):
You can put this solution on YOUR website! This is cool, you can solve it by Pythagorean theorem.
From the "tip" where 2 lines meet draw a line straight to your base (which cuts that into half) and that is your height, right? --mark this "a".
And the base that cuts into half mark "b", & the new dimension="b/2"
Then that diagonal line that connects the tip of the line you draw (as height)
to the end tip of the base, mark it as "c"= hypotenuse.
by Pyth. theorem, --------- This will be your height remember? And you can solve now since you know the dimensions of all the sides.
Thank you,
Jojo
So the height is . So simply plug in the given base (there are three possible heights) and the area that you found from the previous formula to find the height that you want.
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