You can put this solution on YOUR website! Find the altitude of the triangle whose sides are:
13, 13, and 10
This is obviously an isosceles triangle (at least two equal sides).
The altitude can be shown by dropping a perpendicular from the vertex angle (the angle between the two equal sides) to the base thus bisecting the base into two equal lengths of 5 units each.
Now the original triangle is shown as two congruent right triangles each having sides: 13 (the hypotenuse), 5 (the base), and h (the altitude).
You can find h using the Pythagorean theorem: Take the square root of both sides. Discard the negative solution.
The altitude is 12 units.
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