Math CentralQuandaries & Queries


Question from Reagan:

I need to find the height of an isosceles triangle with a base of 6 and sides of 4 units. How do I find it?

Hi Reagan,


In my diagram $M$ is the midpoint of the base. Triangles $ABM$ and $BCM$ are congruent. Do you se why? Thus angles $BMA$ and $CMB$ are congruent. The sum of heir measures is $180^o$ so each of them is a right angle. Now you can use Pythagoras Theorem.


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