Question

HELP PLZ! MEDAL! The lengths of two sides of a triangle are shown below:

Side 1: 4x2 - 2x - 5
Side 2: 5x - x2 + 7

The perimeter of the triangle is 6x3 + 8x2 - 4x - 2.

What is the total length of the two sides, 1 and 2, of the triangle?

What is the length of the third side of the triangle?

Answer 1

@Data_LG2

Answer 2

@mathmate

Answer 3

@KayleeNeedsHelp
Do you know what like terms are?

Answer 4

Side 1: 4x2 - 2x - 5
Side 2: 5x - x2 + 7
Rewrite them in order of decreasing power of x:
Side 1: \(4x^2 - 2x - 5\)
Side 2: \(-x^2 + 5x + 7\)
Add like terms:
sides 1 and 2 = \((4x^2-x^2) + (-2x+5x)+(-5+7)=3x^2 + 3x +2\)
To find the third side, do similarly, but \(subtract\) the sum of two sides from the perimeter.