Class 7 Exam > Class 7 Questions > Which of the following statements is incorrec...
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Which of the following statements is incorrect?
- a)The sum of angles in a triangle is 2 right angles.
- b)The exterior angle of a triangle is equal to the interior angle of the triangle.
- c)The hypotenuse is the longest side of a right angled triangle.
- d)All the above.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which of the following statements is incorrect?a)The sum of angles in ...
**Incorrect Statement: The exterior angle of a triangle is equal to the interior angle of the triangle.**
**Explanation:**
To understand why this statement is incorrect, let's first define what an exterior angle and an interior angle of a triangle are.
- **Exterior Angle:** An exterior angle of a triangle is formed by extending one of the sides of the triangle.
- **Interior Angle:** An interior angle of a triangle is an angle formed by two sides of the triangle.
Now, let's examine the given statement and determine its correctness.
**a) The sum of angles in a triangle is 2 right angles:**
This statement is correct. The sum of all three angles in a triangle is always equal to 180 degrees, which is equivalent to 2 right angles (90 degrees each).
**b) The exterior angle of a triangle is equal to the interior angle of the triangle:**
This statement is incorrect. The exterior angle of a triangle is always greater than any of its interior angles. In fact, the exterior angle is equal to the sum of the two opposite interior angles of the triangle. This is known as the Exterior Angle Theorem.
**c) The hypotenuse is the longest side of a right-angled triangle:**
This statement is correct. In a right-angled triangle, the hypotenuse is the side opposite the right angle. It is the longest side of the triangle and is always opposite the largest angle.
Based on the analysis above, we can conclude that option 'B' is the incorrect statement. The exterior angle of a triangle is not equal to the interior angle of the triangle.
**Explanation:**
To understand why this statement is incorrect, let's first define what an exterior angle and an interior angle of a triangle are.
- **Exterior Angle:** An exterior angle of a triangle is formed by extending one of the sides of the triangle.
- **Interior Angle:** An interior angle of a triangle is an angle formed by two sides of the triangle.
Now, let's examine the given statement and determine its correctness.
**a) The sum of angles in a triangle is 2 right angles:**
This statement is correct. The sum of all three angles in a triangle is always equal to 180 degrees, which is equivalent to 2 right angles (90 degrees each).
**b) The exterior angle of a triangle is equal to the interior angle of the triangle:**
This statement is incorrect. The exterior angle of a triangle is always greater than any of its interior angles. In fact, the exterior angle is equal to the sum of the two opposite interior angles of the triangle. This is known as the Exterior Angle Theorem.
**c) The hypotenuse is the longest side of a right-angled triangle:**
This statement is correct. In a right-angled triangle, the hypotenuse is the side opposite the right angle. It is the longest side of the triangle and is always opposite the largest angle.
Based on the analysis above, we can conclude that option 'B' is the incorrect statement. The exterior angle of a triangle is not equal to the interior angle of the triangle.
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Community Answer
Which of the following statements is incorrect?a)The sum of angles in ...
The first option that is option a is correct as sum of all angles in a triangle is 180 degree (=2 right angles=right angle+right angle=90 degree+90 degree=180 degree)
The third option that is option number c tells that hypotenuse is the longest side of a triangle which is also correct as Hypotenuse² = Sum of the squares of the legs (other sides)of the right angled triangle.
And option number b is incorrect as, the exterior angle of a triangle=Sum of the opposite interior angles of the triangle
Therefore option d is also incorrect.
The third option that is option number c tells that hypotenuse is the longest side of a triangle which is also correct as Hypotenuse² = Sum of the squares of the legs (other sides)of the right angled triangle.
And option number b is incorrect as, the exterior angle of a triangle=Sum of the opposite interior angles of the triangle
Therefore option d is also incorrect.
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Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle. c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer?
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