Question
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
12 feet, 20 feet
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
The correct answer is: Hence, all numbers between 8 and 32 will be the length of third side.
Answer:
- Step-by-step explanation:
Given:
In triangle, sides are 12 feet and 20 feet.
a = 12 feet, b = 20 feet.
Step 1:
Find length of third side.
difference of two side < third side < sum of two sides
b – a < c < a + b
20 – 12 < c < 12 + 20
8 < c < 32
Hence, all numbers between 8 and 32 will be the length of third side.
- Final Answer:
Hence, all numbers between 8 and 32 will be the length of third side.
Hence, all numbers between 8 and 32 will be the length of third side.
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