SOLUTION: find the height of a isosceles triangle whose base is 10cm and legs are 20 cm (leave your answer in simplest radical form)

Question 549918: find the height of a isosceles triangle whose base is 10cm and legs are 20 cm (leave your answer in simplest radical form)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The height is , the length of the altitude through the vertex. It is a median and part of the perpendicular bisector of the base. It divides the isosceles triangle into two symmetrical, congruent right triangles.
With all lengths in cm, Pythagoras' theorem says that
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That's an irrational number, and its exact value cannot be expressed in decimal form.
It's approximately 19.365, or 19.36, or 19.4 (depending on how precise you want to be).
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