Asked by Lakshmi oberoi
What are the sides,angles,lines of symmetry of the following shapes:equilateral triangle,isosceles triangle, scalene triangle,right angle triangle.
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GPT 3.5
Equilateral Triangle:
- Sides: All three sides are equal in length.
- Angles: All three angles are equal and measure 60 degrees.
- Lines of Symmetry: There are three lines of symmetry, passing through each vertex and bisecting the opposite side.
Isosceles Triangle:
- Sides: Two sides are equal in length, and the third side is different.
- Angles: The two angles opposite the equal sides are equal.
- Lines of Symmetry: There is one line of symmetry, which is the perpendicular bisector of the unequal side.
Scalene Triangle:
- Sides: All three sides are different in length.
- Angles: All three angles are different, and there is no specific relationship between them.
- Lines of Symmetry: There are no lines of symmetry.
Right Angle Triangle (also known as a Right Triangle):
- Sides: One angle is a right angle (90 degrees), and the lengths of the other two sides can vary.
- Angles: Besides the right angle, the other two angles can vary and add up to 90 degrees.
- Lines of Symmetry: There is one line of symmetry, which is the perpendicular bisector of the hypotenuse (the side opposite the right angle).
- Sides: All three sides are equal in length.
- Angles: All three angles are equal and measure 60 degrees.
- Lines of Symmetry: There are three lines of symmetry, passing through each vertex and bisecting the opposite side.
Isosceles Triangle:
- Sides: Two sides are equal in length, and the third side is different.
- Angles: The two angles opposite the equal sides are equal.
- Lines of Symmetry: There is one line of symmetry, which is the perpendicular bisector of the unequal side.
Scalene Triangle:
- Sides: All three sides are different in length.
- Angles: All three angles are different, and there is no specific relationship between them.
- Lines of Symmetry: There are no lines of symmetry.
Right Angle Triangle (also known as a Right Triangle):
- Sides: One angle is a right angle (90 degrees), and the lengths of the other two sides can vary.
- Angles: Besides the right angle, the other two angles can vary and add up to 90 degrees.
- Lines of Symmetry: There is one line of symmetry, which is the perpendicular bisector of the hypotenuse (the side opposite the right angle).
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