Answer :
To solve this problem, we need to find the equation that can be used to determine the value of [tex]\( x \)[/tex] in the given isosceles triangle scenario.
An isosceles triangle has two sides that are of equal length. In this case, those two equal sides are represented by [tex]\( x \)[/tex], and the third, shortest side of the triangle is given as 2.1 meters.
The problem states that the perimeter of the triangle is 7.5 meters. The perimeter is the total length around the triangle, which is the sum of all its side lengths.
Let's summarize:
- The shortest side, [tex]\( y \)[/tex], is 2.1 m.
- The other two sides are equal and are represented by [tex]\( x \)[/tex].
- The perimeter is 7.5 m.
Now we need to set up an equation:
1. The perimeter of the triangle, which is the sum of all its sides, can be written as:
[tex]\[
\text{Perimeter} = \text{Shortest side} + 2 \times (\text{Equal side})
\][/tex]
2. Plug the known values into the equation:
[tex]\[
7.5 = 2.1 + 2x
\][/tex]
Therefore, the equation you can use to find the value of [tex]\( x \)[/tex] is:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
This equation relates the perimeter of the triangle to the lengths of its sides and can be rearranged to solve for [tex]\( x \)[/tex].
An isosceles triangle has two sides that are of equal length. In this case, those two equal sides are represented by [tex]\( x \)[/tex], and the third, shortest side of the triangle is given as 2.1 meters.
The problem states that the perimeter of the triangle is 7.5 meters. The perimeter is the total length around the triangle, which is the sum of all its side lengths.
Let's summarize:
- The shortest side, [tex]\( y \)[/tex], is 2.1 m.
- The other two sides are equal and are represented by [tex]\( x \)[/tex].
- The perimeter is 7.5 m.
Now we need to set up an equation:
1. The perimeter of the triangle, which is the sum of all its sides, can be written as:
[tex]\[
\text{Perimeter} = \text{Shortest side} + 2 \times (\text{Equal side})
\][/tex]
2. Plug the known values into the equation:
[tex]\[
7.5 = 2.1 + 2x
\][/tex]
Therefore, the equation you can use to find the value of [tex]\( x \)[/tex] is:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
This equation relates the perimeter of the triangle to the lengths of its sides and can be rearranged to solve for [tex]\( x \)[/tex].
