Question

ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC

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Answer 1

All sides are equal in an equilateral triangle and the perpendicular bisects the side too.

so BC will be bisected and the segments be 5 each.

you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.

`5^2+h^2=10^2`

$h^2=100-25=75$

$h=\sqrt{75}=5\sqrt3$