One side of a triangle is 5 cm and the other side is 10 cm and its perimeter…
2019
One side of a triangle is 5 cm and the other side is 10 cm and its perimeter is P cm, where P is an integer. The least and the greatest possible values of P are respectively
- A.
19 and 29
- B.
20 and 28
- C.
21 and 29
- D.
22 and 27
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Correct answer: C
For sides 5 cm and 10 cm, the third side must be greater than 5 and less than 15. Since the perimeter is an integer, the least possible third side is 6 and the greatest possible third side is 14. Therefore the least and greatest perimeters are 5 + 10 + 6 = 21 and 5 + 10 + 14 = 29.