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Find the height, H, of the triangle shown

(Hint: The formula for area of a triangle is A =1/2 bh, where b is the length of the base and h is the height of the triangle.)

Find the height, H, of the triangle shown (Hint: The formula for area of a triangle-example-1
User Wumpz
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The first thing you should do is use the fact that the area of the triangle is:
A = b * h * (1/2).
From there you clear the height as a function of "c"
Then you will have a polynomial division which you must make to find the height of the triangle.
I attach the solution.
Find the height, H, of the triangle shown (Hint: The formula for area of a triangle-example-1
Find the height, H, of the triangle shown (Hint: The formula for area of a triangle-example-2
User Magdmartin
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