Question
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
6 meters, 9 meters
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 3 and 15 will be the length of third side.
Answer:
- Step-by-step explanation:
- Given:
In triangle, sides are 9 meters and 6 meters.
a = 9 m, b = 6 m.
- Step 1:
- Find length of third side.
difference of two side < third side < sum of two sides
a - b < c < a + b
9 – 6 < c < 9 + 6
3 < c < 15
Hence, all numbers between 3 and 15 will be the length of third side.
- Final Answer:
Hence, all numbers between 3 and 15 will be the length of third side.
- Step 1:
- Find length of third side.
Hence, all numbers between 3 and 15 will be the length of third side.
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