A triangle can have sides whose lengths are 9 cm, 16 cm, and
A. 7cm
B. 8cm
C. 25cm
D. 26cm
the 3rd side must be less than the sum of the 1st two
and greater than the difference of the 1st two
Its B 8 don't trust this liar
its def b
It is B because the sum of the 2 least geastest one should add up to more than.The greatest one.
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To determine whether a triangle can have sides with lengths of 9 cm, 16 cm, and x cm, you can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, if the triangle has sides of 9 cm and 16 cm, the sum of those two sides is 9 cm + 16 cm = 25 cm. To find the range of possible lengths for the third side, we need to consider if it is possible for 25 cm to be less than the length of the third side.
Option A: If the third side is 7 cm, the sum of the two shorter sides would be 9 cm + 7 cm = 16 cm, which is less than the length of the longest side (16 cm). Therefore, option A is not possible.
Option B: If the third side is 8 cm, the sum of the two shorter sides would be 9 cm + 8 cm = 17 cm, which is greater than the length of the longest side (16 cm). Therefore, option B is possible.
Option C: If the third side is 25 cm, the sum of the two shorter sides would be 9 cm + 25 cm = 34 cm, which is greater than the length of the longest side (16 cm). Therefore, option C is possible.
Option D: If the third side is 26 cm, the sum of the two shorter sides would be 9 cm + 26 cm = 35 cm, which is greater than the length of the longest side (16 cm). Therefore, option D is possible.
Therefore, among the given options, options B, C, and D are possible lengths for the third side of the triangle.