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Answer :
To solve this problem, we need to set up an equation based on the information about the isosceles triangle:
1. Understanding the Triangle:
- An isosceles triangle has two equal sides. Let's call these sides "x".
- The shortest side, given as the base, measures 2.1 meters.
2. Perimeter of the Triangle:
- The perimeter of the triangle is the sum of all its sides.
- The perimeter is given as 7.5 meters.
3. Setting up the Equation:
- The formula for the perimeter of the isosceles triangle is:
[tex]\[
\text{Perimeter} = x + x + y
\][/tex]
- Substitute the known values into the formula, with [tex]\( y = 2.1 \)[/tex]:
[tex]\[
x + x + 2.1 = 7.5
\][/tex]
- Simplify the equation:
[tex]\[
2x + 2.1 = 7.5
\][/tex]
So, the correct equation to use to find the value of [tex]\( x \)[/tex] is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
1. Understanding the Triangle:
- An isosceles triangle has two equal sides. Let's call these sides "x".
- The shortest side, given as the base, measures 2.1 meters.
2. Perimeter of the Triangle:
- The perimeter of the triangle is the sum of all its sides.
- The perimeter is given as 7.5 meters.
3. Setting up the Equation:
- The formula for the perimeter of the isosceles triangle is:
[tex]\[
\text{Perimeter} = x + x + y
\][/tex]
- Substitute the known values into the formula, with [tex]\( y = 2.1 \)[/tex]:
[tex]\[
x + x + 2.1 = 7.5
\][/tex]
- Simplify the equation:
[tex]\[
2x + 2.1 = 7.5
\][/tex]
So, the correct equation to use to find the value of [tex]\( x \)[/tex] is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
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