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In which one of the following kinds of triangles are all the angles equal?’
- a)Equilateral triangle
- b)Scalene triangle
- c)Isosceles triangle
- d)All of these
Correct answer is option 'A'. Can you explain this answer?
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In which one of the following kinds of triangles are all the angles e...
A scalene triangle has no angle equal and an isosceles triangle has one pair of angles as equal.
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In which one of the following kinds of triangles are all the angles e...
Answer:
An equilateral triangle is a type of triangle in which all three sides are equal in length. In addition to the sides being equal, all three angles of an equilateral triangle are also equal. Therefore, the correct answer is option 'A' - an equilateral triangle.
Explanation:
To understand why an equilateral triangle has all angles equal, let's look at the properties of an equilateral triangle.
Properties of an Equilateral Triangle:
1. Equal sides: In an equilateral triangle, all three sides are of the same length. This means that the distance between any two vertices of an equilateral triangle is the same.
2. Equal angles: Since all three sides of an equilateral triangle are equal, the angles opposite to these sides must also be equal. Therefore, all three angles of an equilateral triangle are equal.
3. Sum of angles: The sum of the angles in any triangle is always 180 degrees. In an equilateral triangle, all three angles are equal, so each angle must be 180 degrees divided by 3, which is 60 degrees.
Visual Representation:
To visually understand the concept, we can draw an equilateral triangle and measure its angles using a protractor. We will find that all three angles measure 60 degrees.
Therefore, based on the properties and visual representation, we can conclude that in an equilateral triangle, all three angles are equal. Hence, the correct answer is option 'A' - an equilateral triangle.
An equilateral triangle is a type of triangle in which all three sides are equal in length. In addition to the sides being equal, all three angles of an equilateral triangle are also equal. Therefore, the correct answer is option 'A' - an equilateral triangle.
Explanation:
To understand why an equilateral triangle has all angles equal, let's look at the properties of an equilateral triangle.
Properties of an Equilateral Triangle:
1. Equal sides: In an equilateral triangle, all three sides are of the same length. This means that the distance between any two vertices of an equilateral triangle is the same.
2. Equal angles: Since all three sides of an equilateral triangle are equal, the angles opposite to these sides must also be equal. Therefore, all three angles of an equilateral triangle are equal.
3. Sum of angles: The sum of the angles in any triangle is always 180 degrees. In an equilateral triangle, all three angles are equal, so each angle must be 180 degrees divided by 3, which is 60 degrees.
Visual Representation:
To visually understand the concept, we can draw an equilateral triangle and measure its angles using a protractor. We will find that all three angles measure 60 degrees.
Therefore, based on the properties and visual representation, we can conclude that in an equilateral triangle, all three angles are equal. Hence, the correct answer is option 'A' - an equilateral triangle.
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In which one of the following kinds of triangles are all the angles equal?’a)Equilateral triangleb)Scalene trianglec)Isosceles triangled)All of theseCorrect answer is option 'A'. Can you explain this answer?
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