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Which type of triangle is in the classification based on angles?
  • a)
    An equilateral triangle
  • b)
    An isosceles triangle
  • c)
    A right angled triangle  
  • d)
    A scalene triangle
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which type of triangle is in the classification based on angles?a)An e...
Right Angled Triangle
A right-angled triangle is a type of triangle that is classified based on angles. In a right-angled triangle, one of the angles measures 90 degrees. This special angle is called the right angle and is formed by the intersection of the two shorter sides of the triangle, known as the legs. The side opposite the right angle is called the hypotenuse.

Characteristics of a Right Angled Triangle:
- Has one angle measuring 90 degrees
- The sum of the other two angles is always 90 degrees
- Follows the Pythagorean theorem: a^2 + b^2 = c^2, where 'a' and 'b' are the lengths of the legs and 'c' is the length of the hypotenuse

Example:
In a right-angled triangle with angles measuring 30, 60, and 90 degrees, the side opposite the 30-degree angle would be half the length of the hypotenuse, while the side opposite the 60-degree angle would be √3 times the length of the side opposite the 30-degree angle.
In conclusion, a right-angled triangle is a specific type of triangle based on its angles, with the defining characteristic of having one angle measuring 90 degrees.
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Which type of triangle is in the classification based on angles?a)An equilateral triangleb)An isosceles trianglec)A right angled triangle d)A scalene triangleCorrect answer is option 'C'. Can you explain this answer?
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