SOLUTION: I have an isoceles triangle that is 22 on the longest side and is 18 high. How long will the other two sides be?

Question 497901: I have an isoceles triangle that is 22 on the longest side and is 18 high. How long will the other two sides be?
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
Using the vertex at the top and the longest side as the base, you can drop the altitude of the triangle. This will split the isosceles triangle into two right triangles. Each congruent side is the hypotenuse.
Knowing the height and using 1/2 the base, we can use the Pythagorean theorem to determine the hypotenuse.
11^2 + 18^2 = c^2
121 + 324 = 445.
= hypotenuse.
Approx. 21.1 = hypotenuse.
This is the measure of the other two sides.
Cleomenius.

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