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(2aii)

To find the lengths of the other two sides of the triangle, we can use trigonometry. Let's call one of the unknown sides x. Then we know that:

sin(60°) = x/50, since sin(60°) = opposite/hypotenuse in a right triangle with a 60-degree angle.
Rearranging this equation, we get:

x = 50 sin(60°) = 50 × √3/2 = 25√3.

So one of the unknown sides has a length of 25√3, and the other unknown side has the same length, since the triangle is equilateral.
16 Jun 2023

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