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Is scalene triangle cannot contain a right triangle?
A scalene triangle CAN also be a right triangle. For a triangle to be scalene, all 3 sides must be of different lengths. If you draw a triangle with a 90 degree right angle (ie. a right triangle) you will see that it's very easy for the sides to be unequal lenghts.
Are the exterior angles of a scalene triangle always obtuse?
No, they are not always obtuse, because a scalene triangle can also sometimes be an obtuse triangle (meaning that one interior angle is obtuse), making one exterior angle acute. Scalene triangles also can be a right triangles (meaning that one interior angle is a right angle), which would make an exterior angle a right angle. Then also they can be acute triangles, in this case all 3 exterior angles are obtuse.
What are three ways in naming a triangle?
Right angle, equilateral, isosceles and there are also scalene and obtuse triangles.
A scalene triangle can also be an what triangle?
a scalene can be a right-angled triangle or a obtuse angled triangle or a acute angled triangle depending on the angles of the triangle.
What is the sum of the measures of the three angles of a scalene triangle?
In a scalene triangle, the angle sum is still 180 degrees. What defines a scalene triangle is that it has three sides with different lengths, and therefore, also different angles. It can be a right triangle for example, with the angles 30, 90, and 60 degrees. It's angle sum always sums up to 180 as in all triangles. Note: It doesn't have to be a right triangle. It can be any kind of triangle as long as it has three different angles and sums up 180 degrees.
