# Help me solve this geometry question

Let ABC be an equilateral triangle and P be a point inside this triangle such that PA=x, PB=y, PC=z. If z^2 = x^2 + y^2 , find the length of the sides of triangle ABC in terms of and y.

Note by Haris Bin Zahid
4 years, 7 months ago

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It's possible to prove that /_PCA=150° (Refer to Go Geometry Problem 101). Now use cosine rule to determine the side.

- 4 years, 7 months ago