Math CentralQuandaries & Queries


Question from Cristal, a student:

Hello :) How can i find the sides of an equilateral triangle when only given the height 10m?

Hi Cristal,

Suppose the triangle is $ABC$ and the length of a side of the triangle is $a$ units. Let $D$ be the midpoint of $BC$ and draw a line from $A$ to $D.$


You know that $|BD| = |DC| = \frac{a}{2}.$

What do you know about the triangle $ABD$ and $ADC?$

Write back if you need more help.

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