define scalne traingle and give property
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Step-by-step explanation:
Properties of the scalene triangle:
A scalene triangle has no line of symmetry. The angle opposite to the longest side would be the greatest angle and vice versa. All sides of the given scalene triangle are unequal. The given triangle cannot be divided into two identical halves. There is no line of symmetry.
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Definition:
A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees. Thus, it meets the angle sum property condition of triangle.
Scalene Triangle Properties
Some of the important properties of the scalene triangle are as follows:
It has no equal sides.
- It has no equal angles.
- It has no line of symmetry.
- It has no point symmetry.
- The angles inside this triangle can be an acute, obtuse or right angle.
- If all the angles of the triangle are less than 90 degrees(acute), then the center of the circumscribing circle will lie inside a triangle.
- In a scalene obtuse triangle, the circumcenter will lie outside the triangle.
- A scalene triangle can be an obtuse-angled, acute-angled or right-angled triangle.
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