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Answer :
To solve the problem, we need to find the appropriate equation that can be used to determine the value of [tex]\( x \)[/tex] given the conditions of the isosceles triangle.
Here's how to approach the problem step-by-step:
1. Understand the Properties of an Isosceles Triangle:
- An isosceles triangle has two sides that are equal.
- If we denote the equal sides by [tex]\( x \)[/tex] and the base or shortest side by [tex]\( y \)[/tex], then in this case, the shortest side [tex]\( y \)[/tex] is given as 2.1 meters.
2. Use the Perimeter Formula:
- The perimeter of a triangle is the sum of the lengths of all its sides.
- For an isosceles triangle with equal sides [tex]\( x \)[/tex], the perimeter equation would be:
[tex]\[
\text{Perimeter} = x + x + y
\][/tex]
- This simplifies to:
[tex]\[
\text{Perimeter} = 2x + y
\][/tex]
3. Substitute the Known Values:
- The perimeter is given as 7.5 meters, and the shortest side [tex]\( y \)[/tex] is 2.1 meters.
- Substitute these values into the perimeter equation:
[tex]\[
2x + 2.1 = 7.5
\][/tex]
4. Select the Correct Equation:
- From the given options, the equation that matches our derived equation is:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
This is the equation that properly represents the situation and can be used to find the value of [tex]\( x \)[/tex].
Here's how to approach the problem step-by-step:
1. Understand the Properties of an Isosceles Triangle:
- An isosceles triangle has two sides that are equal.
- If we denote the equal sides by [tex]\( x \)[/tex] and the base or shortest side by [tex]\( y \)[/tex], then in this case, the shortest side [tex]\( y \)[/tex] is given as 2.1 meters.
2. Use the Perimeter Formula:
- The perimeter of a triangle is the sum of the lengths of all its sides.
- For an isosceles triangle with equal sides [tex]\( x \)[/tex], the perimeter equation would be:
[tex]\[
\text{Perimeter} = x + x + y
\][/tex]
- This simplifies to:
[tex]\[
\text{Perimeter} = 2x + y
\][/tex]
3. Substitute the Known Values:
- The perimeter is given as 7.5 meters, and the shortest side [tex]\( y \)[/tex] is 2.1 meters.
- Substitute these values into the perimeter equation:
[tex]\[
2x + 2.1 = 7.5
\][/tex]
4. Select the Correct Equation:
- From the given options, the equation that matches our derived equation is:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
This is the equation that properly represents the situation and can be used to find the value of [tex]\( x \)[/tex].
Thank you for reading the article Finding Equations in Two Variables The isosceles triangle has a perimeter of 7 5 m Which equation can be used to find the value of. 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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Rewritten by : Jeany
