Question

Finding+the+length+of+an+altitude+of+an+equilateral+triangle+of+side+2a+cm

Answer 1

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✝ The altitude divides the base of the equilateral triangle in two equal half ✝

Hence

Using the phytagoras theorem :

$(hypotenuse) {}^{2} = (base) {}^{2} + (height) {}^{2} \\ (2a) {}^{2} = (a) {}^{2} + (height) {}^{2} \\ 4a {}^{2} = a {}^{2} + (height) {}^{2} \\ 4a {}^{2} - a {}^{2} = height(altitude) \\ 3a {}^{2} = altitude$

Answer 2

when we draw a perpendicular on line we get the altitude a√3 cm