In a triangle, if the lengths of two sides are 7 cm and 10 cm, which of the foll
Practice Questions
Q1
In a triangle, if the lengths of two sides are 7 cm and 10 cm, which of the following could be the length of the third side?
3 cm
15 cm
5 cm
17 cm
Questions & Step-by-Step Solutions
In a triangle, if the lengths of two sides are 7 cm and 10 cm, which of the following could be the length of the third side?
Step 1: Identify the lengths of the two sides of the triangle. Here, they are 7 cm and 10 cm.
Step 2: Use the triangle inequality theorem, which states that the length of any side of a triangle must be less than the sum of the other two sides and greater than the difference of the other two sides.
Step 3: Calculate the sum of the two sides: 7 cm + 10 cm = 17 cm. This means the third side must be less than 17 cm.
Step 4: Calculate the difference of the two sides: 10 cm - 7 cm = 3 cm. This means the third side must be greater than 3 cm.
Step 5: Combine the results from Steps 3 and 4. The length of the third side must be greater than 3 cm and less than 17 cm.
