SOLUTION: The side of the triangle are 20m, 25m , and 30m repectively. Find the Length of the altitude to the longest side?

Question 868331: The side of the triangle are 20m, 25m , and 30m repectively. Find the Length of the altitude to the longest side?
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Use Law of Cosines...

A picture will help but is not here included.

Pick the interior angle at the vertex of the 20 m and 30 m sides. Call the angle measure, t.

-
What is this value of t?
degrees for more accuracy than needed.

Use the 20 meter length side as the hypotenuse of a right triangle which contains the altitude and part of the base side; we do not need the base side nor part of it here. We only want to compute the altitude. This altitude is:
.
16.5 meters.
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