In a triangle, if two sides are 7 cm and 10 cm, what is the maximum possible len

Practice Questions

Q1
In a triangle, if two sides are 7 cm and 10 cm, what is the maximum possible length of the third side? (2019)
  1. 16 cm
  2. 17 cm
  3. 18 cm
  4. 19 cm

Questions & Step-by-Step Solutions

In a triangle, if two sides are 7 cm and 10 cm, what is the maximum possible length of the third side? (2019)
  • Step 1: Identify the lengths of the two sides of the triangle. Here, they are 7 cm and 10 cm.
  • Step 2: Understand that in a triangle, the length of any one side must be less than the sum of the other two sides.
  • Step 3: Calculate the sum of the two sides: 7 cm + 10 cm = 17 cm.
  • Step 4: To find the maximum possible length of the third side, subtract 1 from the sum: 17 cm - 1 cm = 16 cm.
  • Step 5: Therefore, the maximum possible length of the third side is 16 cm.
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