Question

The perimeter of a triangle is 8 + 13a + 7a' and the two of its sides are 2a'+3a +2 and

3a'-4a-1. then the third side of the triangle is
(1) 21a' + 7a+1)
(2) 2a + 14a +7
(3) a?-14a +7
(4) 2a' - 14a-7​

Answer 1

(2) 2a + 14a +7

Step-by-step explanation:

The Parameter is the sum of the length of all the sider of a shape. A triangle has three sides, so the parameter of a triangle is the sum of lengths of all the three sides of the triangle.

Following is the formula to calculate the parameter of a trinagle

Parameter = Length of first side + Length of second side + Length of third side

where

Parameter = 8 + 13a + 7a'

Length of first side = 2a'+3a +2

Length of second side = 3a'-4a-1

Placing values in the formula

8 + 13a + 7a' = ( 2a'+3a +2 ) + ( 3a'-4a-1 ) + Length of third side

8 + 13a + 7a' = 2a'+3a +2 + 3a'-4a-1 + Length of third side

8 + 13a + 7a' = 5a'-a +1 + Length of third side

Length of third side = (8 + 13a + 7a') - ( 5a'-a +1 )

Length of third side = 8 + 13a + 7a' - 5a' + a - 1

Length of third side = 7 + 14a + 2a'

Length of third side = 2a' + 14a + 7