Maths-
General
Easy
Question
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6, 7, 11
Hint:
- Triangle inequality theorem
- According to this theorem, in any triangle, sum of two sides is greater than third side,
- a < b + c
- b < a + c
- c < a + b
The correct answer is: Yes, it is possible to construct triangle with this sides.
- Step-by-step explanation:
- Given:
In triangle, sides are 6 cm, 7 cm and 11 cm.
a = 6, b = 7, and c = 11.
- Step 1:
- First check validity.
According to triangle inequality theorem,
a < b + c,
6 < 7 + 11
6 < 18, True
b < a + c,
7 < 6 + 11
7 < 17, True
c < a + b,
11 < 6 + 7
11 < 13, True
As sides of triangle satisfy triangle inequality theorem.
Hence, triangle can be constructed with this sides.
- Final Answer:
Yes, it is possible to construct triangle with this sides.
As sides of triangle satisfy triangle inequality theorem.
Hence, triangle can be constructed with this sides.
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