<P> Triangles with these angles are the only possible right triangles that are also isosceles triangles in Euclidean geometry . However, in spherical geometry and hyperbolic geometry, there are infinitely many different shapes of right isosceles triangles . </P> <P> This is a triangle whose three angles are in the ratio 1: 2: 3 and respectively measure 30 ° (π / 6), 60 ° (π / 3), and 90 ° (π / 2). The sides are in the ratio 1: √ 3: 2 . </P> <P> The proof of this fact is clear using trigonometry . The geometric proof is: </P> <Dl> <Dd> Draw an equilateral triangle ABC with side length 2 and with point D as the midpoint of segment BC . Draw an altitude line from A to D. Then ABD is a 30 °--60 °--90 ° triangle with hypotenuse of length 2, and base BD of length 1 . </Dd> </Dl>

Does 8 15 and 17 make a right triangle