Answer:
<em>Both equal sides have a length of 29 cm.</em>
<em>The third inequal side is 9 cm.</em>
Step-by-step explanation:
<u>System of Equations</u>
With the data provided in the problem, we can form a system of two equations with two unknowns.
Let's call x to each equal side of the isosceles triangle and y to the other side. One condition states that each equal side is 2 cm more than three times the other side. It can be written as:
We also know the perimeter of the triangle is 67 cm. Since we have to equal sides to x:
Let's put together both equations:
To solve the system, we can use the x from the first equation and replace it into the second equation:
Operating:
Joining like terms:
Solving for y:
The third inequal side is 9 cm. Now find the value of x.
Both equal sides have a length of 29 cm.