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The Deep Dive
In an equilateral triangle, all sides are equal! So, we can set up equations based on the expressions for each side. Thus, we’ll equate and . Starting with , we solve for and find that . Plugging back into the expressions gives us each side’s length, which turns out to be 12 units.
Lastly, let’s make sure we made no errors! A common pitfall is neglecting to check if your found value satisfies all equations. Here, we set the sides equal and recalculating show that each side indeed measures 12 units when using . Always double-check your answers for peace of mind!