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Answer :
To find the value of [tex]\( x \)[/tex] in the given isosceles triangle problem, we need to understand how the perimeter of an isosceles triangle is constructed.
An isosceles triangle has two sides that are equal in length. Let's say these two equal sides have a length of [tex]\( x \)[/tex]. The third side, which is different in length from the other two, is given as [tex]\( y \)[/tex].
The perimeter of a triangle is the sum of its sides. For this isosceles triangle, the perimeter is:
[tex]\[ \text{Perimeter} = x + x + y = 2x + y \][/tex]
We are given:
- The perimeter of the triangle: 7.5 m
- The length of the shortest side [tex]\( y \)[/tex]: 2.1 m
Substitute these values into the perimeter equation:
[tex]\[ 2x + 2.1 = 7.5 \][/tex]
This equation can be solved for [tex]\( x \)[/tex]. However, since we only need to identify the correct equation among the options provided, we recognize that the correct form of the equation is already given:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
So, the equation we can use to find the value of [tex]\( x \)[/tex] is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
An isosceles triangle has two sides that are equal in length. Let's say these two equal sides have a length of [tex]\( x \)[/tex]. The third side, which is different in length from the other two, is given as [tex]\( y \)[/tex].
The perimeter of a triangle is the sum of its sides. For this isosceles triangle, the perimeter is:
[tex]\[ \text{Perimeter} = x + x + y = 2x + y \][/tex]
We are given:
- The perimeter of the triangle: 7.5 m
- The length of the shortest side [tex]\( y \)[/tex]: 2.1 m
Substitute these values into the perimeter equation:
[tex]\[ 2x + 2.1 = 7.5 \][/tex]
This equation can be solved for [tex]\( x \)[/tex]. However, since we only need to identify the correct equation among the options provided, we recognize that the correct form of the equation is already given:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
So, the equation we can use to find the value of [tex]\( x \)[/tex] is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
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