Question

Hall
The perimeter of a triangle is 7p2 – 5p + 11 and
3p2 – 6p + 3. Find the third side of the triangle.​

Answer 1

Answer:

Step-by-step explanation:

Let A,B & C be the 3 sides of the ∆.

Now,

a = p + 2p - 1 \\ b = 3p - 6p + 3 \\ c =  ? \\ Now, \: perimeter \: of \triangle =  7p - 5p + 11  

We know that Perimeter of ∆.

Side + Side + Side.

=  > A+ B + C= 7p - 5p + 11 \\  =  > p + 2p - 1 + 3p - 6p + 3 + C = 7p - 5p +  11 \\  =  > 2 + C = 7p - 5p + 11 \\   =  > C = 7p - 5p + 11 - 2 \ \\  =  > C = 2p + 9

So,

Third side of the triangle= 2p + 9.

Hope it helps ☺️