SOLUTION: how do you solve for an altitude?
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Question 143958: how do you solve for an altitude?
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!
An of a triangle is a straight line through a vertex and perpendicular to ( forming a right angle with) the opposite side. This opposite side is called the base of the altitude.
The length of the is the distance between the base and the vertex.
Calculating the area of a triangle is an elementary problem encountered often in many different situations.
The best known, and simplest formula is:
where is area, is the length of the base of the triangle, and is the height or altitude of the triangle.
If you know the area, you can calculate the height or like this:
……..solve for
Right Triangle Altitude: The measure of the drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
In terms of our triangle , this theorem simply states what we have already shown:
if the altitude has intersection point with a hypotenuse, then
since is the drawn from the right angle of our right triangle to its hypotenuse, and and are the two segments of the hypotenuse.
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