Question

two sides of a triangle have the same length. the third side measures 2 m less than twice the common length. the perimeter of the triangle is 26 m. what are the lengths of the three sides?
what is the length of the two sides that have the same length?
□ m
what is the length of the third side?
□ m

Explanation:

Step1: Define variable for equal sides

Let the length of each equal side be $x$ m.

Step2: Express third side length

Third side: $2x - 2$ m

Step3: Set up perimeter equation

Perimeter: $x + x + (2x - 2) = 28$

Step4: Simplify and solve for $x$

$4x - 2 = 28$
$4x = 30$
$x = \frac{30}{4} = 7.5$

Step5: Calculate third side length

Third side: $2(7.5) - 2 = 13$ m

Answer:

What is the length of the two sides that have the same length?
7.5 m
What is the length of the third side?
13 m