How to find length of a triangle given one side and angle equladera; triangle?

1 answer:

4 0

An equilateral triangle is a triangle with all equal sides, meaning, if the problem gives you one side, then it has given the length of all the sides because all sides lengths are equal. Given that you have one side and one angle, all sides will be the same length and no matter what all angles are the same and if correct the angles will be equal to 60 each.
I hope this helps some.

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$\bold{3( \frac{27}{8} ) {}^{ \frac{2}{3} \times - 1} = 2( \frac{32}{243} ) {}^{2x} }\\ \\3(( \frac{3}{2} ) {}^{3} ) {}^{ \frac{2}{3} \times - 1 } = 2(( \frac{2}{3} ) {}^{5} ) {}^{2x} \\\\ 3( \frac{3}{2} ) {}^{2 \times - 1} = 2( \frac{2}{3} ) {}^{10x} \\\\ 3( \frac{2}{3} ) {}^{2} = 2( \frac{2}{3} ) {}^{10x} \\\\ 3( \frac{4}{9} ) = 2( \frac{4}{9} ) {}^{5x} \\\\\bold\pink{ comparing \: powers }\\\\5x = 1 \\\\ \bold\blue{x = \frac{1}{5} }$