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Answer :
To solve this problem, we need to determine which equation can be used to find the value of [tex]\( x \)[/tex], where [tex]\( x \)[/tex] is the shortest side of an isosceles triangle, given that the perimeter is 7.5 meters and one of the equal sides, [tex]\( y \)[/tex], measures 2.1 meters.
In an isosceles triangle, two sides are equal. Typically, when you have an isosceles triangle with two equal sides, it means the structure of the triangle is such that one of these sides is [tex]\( y \)[/tex] and the other two are equal in this context.
We are given:
- Perimeter = 7.5 m
- One of the equal sides [tex]\( y = 2.1 \, \text{m} \)[/tex]
To find the equation that expresses this situation, consider the standard layout of an isosceles triangle:
- Suppose the remaining sides are [tex]\( 2x \)[/tex] (since two of them will add up in the perimeter to match the isosceles property).
Now, let's write the whole perimeter equation:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
This equation states that one side (2.1 meters, the shortest side) plus twice the shortest side values [tex]\( 2x \)[/tex] gives the total perimeter of 7.5 meters.
This is the equation you will use to find [tex]\( x \)[/tex], the shortest side. The correct equation from the given options is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
In an isosceles triangle, two sides are equal. Typically, when you have an isosceles triangle with two equal sides, it means the structure of the triangle is such that one of these sides is [tex]\( y \)[/tex] and the other two are equal in this context.
We are given:
- Perimeter = 7.5 m
- One of the equal sides [tex]\( y = 2.1 \, \text{m} \)[/tex]
To find the equation that expresses this situation, consider the standard layout of an isosceles triangle:
- Suppose the remaining sides are [tex]\( 2x \)[/tex] (since two of them will add up in the perimeter to match the isosceles property).
Now, let's write the whole perimeter equation:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
This equation states that one side (2.1 meters, the shortest side) plus twice the shortest side values [tex]\( 2x \)[/tex] gives the total perimeter of 7.5 meters.
This is the equation you will use to find [tex]\( x \)[/tex], the shortest side. The correct equation from the given options is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
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