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Based on the sides of a triangle, which of the following is a classification of triangles?
- a)A right angled triangle
- b)An acute angled triangle
- c)An obtuse angled triangle
- d)An isosceles triangle
Correct answer is option 'D'. Can you explain this answer?
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Based on the sides of a triangle, which of the following is a classifi...
**Answer:**
To classify a triangle based on its sides, we need to consider the lengths of the sides. The different classifications of triangles based on their sides are:
a) Right-angled Triangle: In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The sides opposite the right angle are called the legs, and the side opposite the right angle is called the hypotenuse.
b) Acute-angled Triangle: In an acute-angled triangle, all three angles are acute angles, which means they are less than 90 degrees.
c) Obtuse-angled Triangle: In an obtuse-angled triangle, one of the angles is an obtuse angle, which measures greater than 90 degrees but less than 180 degrees.
d) Isosceles Triangle: In an isosceles triangle, at least two sides have the same length. The angles opposite the equal sides are also equal.
Based on the given classifications, option 'D' - An isosceles triangle is the correct answer because it is the only option that classifies a triangle based on its sides. The other options describe the types of angles in a triangle, not the sides.
Additional Information:
- Equilateral Triangle: In an equilateral triangle, all three sides are equal in length, and all three angles are equal, measuring 60 degrees.
- Scalene Triangle: In a scalene triangle, all three sides have different lengths, and all three angles are different.
To classify a triangle based on its sides, we need to consider the lengths of the sides. The different classifications of triangles based on their sides are:
a) Right-angled Triangle: In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The sides opposite the right angle are called the legs, and the side opposite the right angle is called the hypotenuse.
b) Acute-angled Triangle: In an acute-angled triangle, all three angles are acute angles, which means they are less than 90 degrees.
c) Obtuse-angled Triangle: In an obtuse-angled triangle, one of the angles is an obtuse angle, which measures greater than 90 degrees but less than 180 degrees.
d) Isosceles Triangle: In an isosceles triangle, at least two sides have the same length. The angles opposite the equal sides are also equal.
Based on the given classifications, option 'D' - An isosceles triangle is the correct answer because it is the only option that classifies a triangle based on its sides. The other options describe the types of angles in a triangle, not the sides.
Additional Information:
- Equilateral Triangle: In an equilateral triangle, all three sides are equal in length, and all three angles are equal, measuring 60 degrees.
- Scalene Triangle: In a scalene triangle, all three sides have different lengths, and all three angles are different.
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Based on the sides of a triangle, which of the following is a classifi...
Because option A,B,C are based on the basis on angle of the triangle
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Based on the sides of a triangle, which of the following is a classification of triangles?a)A right angled triangleb)An acute angled trianglec)An obtuse angled triangled)An isosceles triangle Correct answer is option 'D'. Can you explain this answer?
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