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Answer :
To solve the problem of finding the value of [tex]\( x \)[/tex] in the isosceles triangle with a perimeter of 7.5 meters, let's go through the steps:
1. Understand the Triangle:
- The triangle is isosceles, which means two of its sides are equal in length.
- The shortest side, denoted as [tex]\( y \)[/tex], measures 2.1 meters.
2. Perimeter Concept:
- The perimeter of a triangle is the sum of the lengths of all its sides.
- For this isosceles triangle, the formula for the perimeter will be:
[tex]\[
\text{Perimeter} = x + x + y
\][/tex]
where [tex]\( x \)[/tex] represents the length of each of the equal sides.
3. Set Up the Equation:
- We are given that the perimeter is 7.5 meters.
- Substitute [tex]\( y = 2.1 \)[/tex] into the formula:
[tex]\[
2x + 2.1 = 7.5
\][/tex]
4. Select the Right Equation:
- Look at the provided options to choose the correct equation:
- Option [tex]\( 2.1 + 2x = 7.5 \)[/tex] fits the equation we need.
By using these steps, we've established that the correct equation to find the value of [tex]\( x \)[/tex] is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
1. Understand the Triangle:
- The triangle is isosceles, which means two of its sides are equal in length.
- The shortest side, denoted as [tex]\( y \)[/tex], measures 2.1 meters.
2. Perimeter Concept:
- The perimeter of a triangle is the sum of the lengths of all its sides.
- For this isosceles triangle, the formula for the perimeter will be:
[tex]\[
\text{Perimeter} = x + x + y
\][/tex]
where [tex]\( x \)[/tex] represents the length of each of the equal sides.
3. Set Up the Equation:
- We are given that the perimeter is 7.5 meters.
- Substitute [tex]\( y = 2.1 \)[/tex] into the formula:
[tex]\[
2x + 2.1 = 7.5
\][/tex]
4. Select the Right Equation:
- Look at the provided options to choose the correct equation:
- Option [tex]\( 2.1 + 2x = 7.5 \)[/tex] fits the equation we need.
By using these steps, we've established that the correct equation to find the value of [tex]\( x \)[/tex] is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
Thank you for reading the article The isosceles triangle has a perimeter of 7 5 m Which equation can be used to find the value of tex x tex if the. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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