Question
Which group of lengths is used to form a triangle?
- 3, 3, 5
- 4, 2, 2
- 3, 2, 1
- 1, 2, 1
Hint:
We know that in a triangle, the sum of two sides should be greater than the third. So, to find the group of lengths we will check each option, the one which satisfies the theorem will be the group of lengths that can make the triangle.
The correct answer is: 3, 3, 5
We know that in a triangle, the sum of two sides should be greater than the third.
So, (3, 3, 5) set of lengths can form a triangle.
Related Questions to study
Mention the smaller angle to the larger angle from the given figure.
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If one side of a triangle is 10 cm and another side is 6 cm. Find the possible length of the third side, if the third side is the longer side.
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What can be the length of AB?
AB > 46
What can be the length of AB?
AB > 46
What can be the length of AC?
Therefore, the Side AC should be greater than 58 degrees.
What can be the length of AC?
Therefore, the Side AC should be greater than 58 degrees.
What do you observe in ∆ABC?
Right angled triangle:
The triangle in which one of the angle is being 90 degrees.
>>>Therefore, we can say that the given triangle is an example of right angled triangle.
What do you observe in ∆ABC?
Right angled triangle:
The triangle in which one of the angle is being 90 degrees.
>>>Therefore, we can say that the given triangle is an example of right angled triangle.
Which group of lengths is used to form a triangle?
The sides that follows triangle inequality is (3,4,5).
>>>It forms right angled triangle.
Which group of lengths is used to form a triangle?
The sides that follows triangle inequality is (3,4,5).
>>>It forms right angled triangle.
Mention the smaller angle to the larger angle from the given figure.
The required relation between the angles of a given triangle is:
∠CBA < ∠CAB < ∠ACB
Mention the smaller angle to the larger angle from the given figure.
The required relation between the angles of a given triangle is:
∠CBA < ∠CAB < ∠ACB
How can you say which angle is the largest in a triangle?
>>>By using the longest side largest angle theorem, we can find the largest angle in the triangle.
How can you say which angle is the largest in a triangle?
>>>By using the longest side largest angle theorem, we can find the largest angle in the triangle.
If one side of a triangle is 11 cm and another side is 6 cm. Find the possible length of the third side.
Let x be the length of the third side.
11 + 6 > x
17 > x
6 + x > 11
X > 5
The third side value can be greater than 5 and less than 17.
If one side of a triangle is 11 cm and another side is 6 cm. Find the possible length of the third side.
Let x be the length of the third side.
11 + 6 > x
17 > x
6 + x > 11
X > 5
The third side value can be greater than 5 and less than 17.
Mention the smaller side to the longer side from the given figure.
Therefore, for the given triangle the order of length of sides AC < AB < BC.
Mention the smaller side to the longer side from the given figure.
Therefore, for the given triangle the order of length of sides AC < AB < BC.
