Math CentralQuandaries & Queries


Question from anna, a student:

I am anna and I am in 7th grade.
i am trying to find the height of and equilateral triangle, all sides equaling 4 inches

Hi Anna,

I drew a diagram of your triangle, labeled the vertices $A, B$ and $D,$ and drew a line from $B$ to $C,$ the mid point of $DA.$


Triangle $CAB$ is a right triangle and hence you can use Pythagoras Theorem to find the length of $BC,$ the height of triangle $ABD,$


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