Question

P.II
$1 One side of a triangle is 5 cm and the
other side is 10 cm and its perimeter is
Pem, where P is an integer. The least
and the greatest possible values of P
are respectively
20 21 and 29
(2) 22 and 27
B 19 and 29
(4) 20 and 28 ​

Answer 1

Answer:

21 and 29

Step-by-step explanation:

For a shape to satisfy the triangle the sum of any two sides should be greater than the third side, the two sides of a triangle are 10 and 5, the maximum value of the third side should be less than the sum of both sides which is less than 15, therefore maximum value of 3 rd side is 14

Maximum value of P = 10+ 5 + 14= 29

For minimum value the sum of third side and 5 should be greater than 10, therefore minimum value is 6.

Minimum value of P = 5+ 6+ 10= 21