In a triangle, if the lengths of two sides are 7 cm and 10 cm, what is the range of possible lengths for the third side?
Practice Questions
1 question
Q1
In a triangle, if the lengths of two sides are 7 cm and 10 cm, what is the range of possible lengths for the third side?
3 cm to 17 cm
3 cm to 10 cm
10 cm to 17 cm
7 cm to 10 cm
According to the triangle inequality theorem, the length of the third side must be less than the sum of the other two sides and greater than the difference of the two sides. Therefore, the range is 3 cm to 17 cm.
Questions & Step-by-step Solutions
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Q
Q: In a triangle, if the lengths of two sides are 7 cm and 10 cm, what is the range of possible lengths for the third side?
Solution: According to the triangle inequality theorem, the length of the third side must be less than the sum of the other two sides and greater than the difference of the two sides. Therefore, the range is 3 cm to 17 cm.
