Which of the following statements is not correct?
Which of the following statements is not correct?
The correct option is D The difference between any two sides of a triangle is greater than the third side
Determine the incorrect statement:
The explanation for the correct option:
Option (D): The difference between any two sides of a triangle is greater than the third side.
We know that the definition of a triangle as the polygon having three sides such that the sum of any two sides is greater than the third side. Therefore, we can say that the difference between two sides is less than the third side.
Hence, “Option D” is the correct option.
The explanation for the incorrect option:
Option (A): The sum of any two sides of a triangle is greater than the third side.
We know that the definition of a triangle as the polygon having three sides such that the sum of any two sides is greater than the third side
Option (B): A triangle can have all its angles acute.
The term "acute angle" relates to an angle that is less than 90 °.
Yes, triangle can have all angles acute angles for example equlilateral triangle where all angel are
Option (C): A right-angled triangle cannot be equilateral.
The sum of the squares on the other two sides of right-angled triangles is equal to the hypotenuse and one angle is but in equilateral triangle all angle are .
Hence, “Option A, Option B, and Option C ” is the correct option.
Hence, “Option D” is the incorrect option.
The difference between any two sides of a triangle is greater than the third side
Determine the incorrect statement:
The explanation for the correct option:
Option (D): The difference between any two sides of a triangle is greater than the third side.
We know that the definition of a triangle as the polygon having three sides such that the sum of any two sides is greater than the third side. Therefore, we can say that the difference between two sides is less than the third side.
Hence, “Option D” is the correct option.
The explanation for the incorrect option:
Option (A): The sum of any two sides of a triangle is greater than the third side.
We know that the definition of a triangle as the polygon having three sides such that the sum of any two sides is greater than the third side
Option (B): A triangle can have all its angles acute.
The term "acute angle" relates to an angle that is less than 90 °.
Yes, triangle can have all angles acute angles for example equlilateral triangle where all angel are
Option (C): A right-angled triangle cannot be equilateral.
The sum of the squares on the other two sides of right-angled triangles is equal to the hypotenuse and one angle is but in equilateral triangle all angle are .
Hence, “Option A, Option B, and Option C ” is the correct option.
Hence, “Option D” is the incorrect option.
