Question
A triangle has one side of length 9 and another of length 14. Describe the possible lengths of the third side.
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
- while finding possible lengths of third side use below formula
- difference of two side < third side < sum of two sides
- while finding possible lengths of third side use below formula
- difference of two side < third side < sum of two sides
The correct answer is: Hence, all numbers between 5 and 23 will be the length of third side
Answer:
- Step-by-step explanation:
- Given:
In triangle, sides are 9 cm and 14 cm.
a = 9 cm, b = 14 cm.
- Step 1:
- Find length of third side.
difference of two side < third side < sum of two sides
b - a < c < a + b
14 – 9 < c < 14 + 9
5 < c < 23
Hence, all numbers between 5 and 23 will be the length of third side.
- Final Answer:
Hence, all numbers between 5 and 23 will be the length of third side.
- Step 1:
- Find length of third side.
Hence, all numbers between 5 and 23 will be the length of third side.
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