Question

1-65a. the perimeter of the triangle below is 52 units.
7x−4, 19, 10x+3 (triangle image)
choose the equation below that best represents this.
in the next problem you will solve for x and then the length of each side.
options:
(7x−4)(19)(10x+3)=52
(7x−4)²+19²=(10+3)²
(7x−4)+(19)+(10x+3)=52
(7x−4)+(10x+3)=19

Explanation:

Step1: Recall perimeter definition

Perimeter of a triangle is the sum of its three sides.

Step2: Identify triangle sides

The sides are \(7x - 4\), \(19\), and \(10x + 3\).

Step3: Form perimeter equation

Sum the sides: \((7x - 4)+(19)+(10x + 3)=52\).

Answer:

\((7x - 4)+(19)+(10x + 3)=52\) (the third option)