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Troyanec [42]
2 years ago
6

Pls help help help help help​

Mathematics
1 answer:
DochEvi [55]2 years ago
4 0

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:

x=3y+2

We also know the perimeter of the triangle is 67 cm. Since we have to equal sides to x:

x+x+y=67

2x+y=67

Let's put together both equations:

x=3y+2

2x+y=67

To solve the system, we can use the x from the first equation and replace it into the second equation:

2(3y+2)+y=67

Operating:

6y+4+y=67

Joining like terms:

7y=67-4=63

Solving for y:

y=63/7=9

The third inequal side is 9 cm. Now find the value of x.

x=3y+2=3(9)+2=27+2=29

Both equal sides have a length of 29 cm.

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Answer:

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or

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Step-by-step explanation:

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