Question

the perimeter of a triangle is 82 centimeters. if two sides are equally long and the third side is 10 centimeters longer than the others, find the lengths of the three sides.

the length of each of the two equally long sides is □ and the length of the longer side is □
options: square centimeters, centimeters

Explanation:

Step1: Define variables

Let the length of each equal side be $x$ cm. The longer side is $x + 10$ cm.

Step2: Set up perimeter equation

Perimeter = sum of sides: $x + x + (x + 10) = 82$

Step3: Simplify and solve for $x$

$3x + 10 = 82$ → $3x = 72$ → $x = 24$

Step4: Find longer side length

Longer side = $24 + 10 = 34$ cm

Answer:

24 centimeters, 34 centimeters