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I believe a scalene triangle CAN have a right angle.

Def of scalene tri: a triangle with no equal sides, and no equal angles.

A triangle with angles of 90, 29, and 61. Sides of 15.0, 27.0, and 30.9

this satisfies the definition.

If you look at it the other way: can a right triangle be non-scalene, and there is only one possibility: the isosceles right triangle (45°, 45°, 90°), with sides (square_root(2), 1, and 1). It's not possible for an equilateral triangle to have a right angle. So all other right triangles are scalene (but not all scalene triangles are right triangles).

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14y ago

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