Question

each of the two congruent sides has length 13 cm. the perimeter of the triangle is 38 cm. (give an integer or a decimal.) the third side has length cm.

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is $P=a + b + c$, where $a$, $b$, and $c$ are the side - lengths. Here $a=b = 13$ cm and $P = 36$ cm.

Step2: Substitute values into formula

We have $36=13 + 13 + c$.

Step3: Solve for the third side

First, simplify the right - hand side: $13+13 = 26$. Then the equation becomes $36=26 + c$. Subtract 26 from both sides: $c=36 - 26$. So $c = 10$ cm.

Answer:

10