If two sides of a triangle are 6cm and 8cm respectively. What can be the length of other side?
If the 3rd side is x, then we must have
8-6 < x < 8+6
Yes
To determine the range of possible lengths for the other side of a triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
Let's apply this theorem to the given triangle. We have two sides with lengths 6cm and 8cm. Let's call the length of the third side xcm.
According to the triangle inequality theorem:
- The sum of the lengths of the two shorter sides must be greater than the length of the longest side.
- So, 6cm + 8cm > xcm.
Simplifying this inequality:
14cm > xcm.
Therefore, the length of the third side (x) must be less than 14cm for it to form a valid triangle with sides of lengths 6cm and 8cm.
In summary, the possible lengths for the other side of the triangle can be any value less than 14cm.