The length of the third side could be 5 cm ⇒ 3rd answer
Step-by-step explanation:
There is a fact in any triangle, that the sum of the lengths of the
smallest two sides of a triangle must be greater then the length of
the largest side
The sum of smallest 2 sides > the 3rd side
So to solve the problem
1. Chose the third side from the answer
2. Add the lengths of the two smallest side
3. Compare between the sum and the 3rd side
∵ The length of the two sides of a triangle are 9 cm and 5 cm
- If the third side is 3 cm
∵ 3 and 5 are the smallest side
∵ 3 + 5 = 8
∵ 8 < 9
∴ The sum of the smallest two sides < the 3rd side
∴ 3 cm can not be the length of the 3rd side
- If the third side is 4 cm
∵ 4 and 5 are the smallest side
∵ 4 + 5 = 9
∵ 9 = 9
∴ The sum of the smallest two sides = the 3rd side
∴ 4 cm can not be the length of the 3rd side
- If the third side is 5 cm
∵ 5 and 5 are the smallest side
∵ 5 + 5 = 10
∵ 10 > 9
∴ The sum of the smallest two sides > the 3rd side
∴ 5 cm can be the length of the 3rd side
- If the third side is 14 cm
∵ 5 and 9 are the smallest side
∵ 5 + 9 = 14
∵ 14 = 14
∴ The sum of the smallest two sides = the 3rd side
∴ 14 cm can not be the length of the 3rd side
The length of the third side could be 5 cm
Learn more:
You can learn more about triangles in brainly.com/question/4098846
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