Question

The perimeter of a triangle is 7p-5p+11 and two of it sides are p+2p-1 and 3p-6p+3. Find the third side of triangle.​

Answer 1

SOLUTION:-

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 ☺️