# In triangle CDE, angle C = 30 degrees, angle D = 45 degrees CE = 5√2 Find: DE.

July 24, 2021 | education

| Using the theorem of sines (the sides of a triangle are proportional to the sines of the opposite angles), we get the expression:

DE / sin (C) = CE / sin (D);

DE = CE * sin (C) / sin (D) = 5√2 * sin (30 °) / sin (45 °) = 5√2 * 1/2 * 2 / √2 = 5.

Answer: the desired side of the triangle is 5.

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