The lengths of two sides of a triangle are shown below:

side 1: 3x2 − 2x − 5 side 2: 7x - 2x2 − 3
the perimeter of the triangle is 5x3 + 4x2 − x − 3.

part a: what is the total length of the two sides, 1 and 2, of the triangle?
part b: what is the length of the third side of the triangle?

the answer is:

part a) the total length of the two sides is:

part b) the third side of the triangle is:

to solve this problem, we need to remember that a triangle have three sides that can be equal or not, also, the perimeter of the triangle is the sum   of all of its sides.

solving a, we have:

being a and b the given sides:

now, adding the like terms, we have:

hence, the total lenght of the given two sides (a and b)

solving b, we have:

now, calculating the third side of the triangle using the perimeter, we have:

hence, the third side of the triangle is:

have a nice day!

answer:

a)

b)

step-by-step explanation:

a) to find the total lenght of the two sides (1 and 2) of the triangle, you need to add them:

remember to add the like terms. then, you get:

b) the perimeter of the triangle is obtained by adding the lengths of each side.

then, the length of the third side is:

then you get: