# Problem 370: Geometric triangles
Let us define a geometric triangle as an integer sided triangle with
sides a ≤ b ≤ c so that its sides form a geometric progression, i.e.
b2 = a · c .  An example of such a geometric triangle is the triangle
with sides a = 144, b = 156 and c = 169. There are 861805 geometric
triangles with perimeter ≤ 106 . How many geometric triangles exist with
perimeter ≤ 2.5·1013 ?