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Answer :
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An isosceles triangle has two equal sides and one side that is different. The perimeter of the triangle is the sum of the lengths of all its sides. You are given that the perimeter of the isosceles triangle is 7.5 meters and that the shortest side [tex]\( y \)[/tex] measures 2.1 meters.
Let's find the value of [tex]\( x \)[/tex] (the length of each of the two equal sides) using one of the equations provided.
### Step-by-Step Solution:
1. Determine the components of the perimeter:
The perimeter of an isosceles triangle is the sum of its three sides:
[tex]\[
\text{Perimeter} = 2x + y
\][/tex]
2. Substitute the given values:
We know that [tex]\( y = 2.1 \)[/tex] meters and the perimeter is 7.5 meters. So, the equation becomes:
[tex]\[
2x + 2.1 = 7.5
\][/tex]
3. Identify the correct equation:
Among the given options, the equation that matches [tex]\( 2x + 2.1 = 7.5 \)[/tex] is:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
Hence, the correct equation to find the value of [tex]\( x \)[/tex] is:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
I hope this explanation helps! If you have any further questions or need more clarification, feel free to ask!
An isosceles triangle has two equal sides and one side that is different. The perimeter of the triangle is the sum of the lengths of all its sides. You are given that the perimeter of the isosceles triangle is 7.5 meters and that the shortest side [tex]\( y \)[/tex] measures 2.1 meters.
Let's find the value of [tex]\( x \)[/tex] (the length of each of the two equal sides) using one of the equations provided.
### Step-by-Step Solution:
1. Determine the components of the perimeter:
The perimeter of an isosceles triangle is the sum of its three sides:
[tex]\[
\text{Perimeter} = 2x + y
\][/tex]
2. Substitute the given values:
We know that [tex]\( y = 2.1 \)[/tex] meters and the perimeter is 7.5 meters. So, the equation becomes:
[tex]\[
2x + 2.1 = 7.5
\][/tex]
3. Identify the correct equation:
Among the given options, the equation that matches [tex]\( 2x + 2.1 = 7.5 \)[/tex] is:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
Hence, the correct equation to find the value of [tex]\( x \)[/tex] is:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
I hope this explanation helps! If you have any further questions or need more clarification, feel free to ask!
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Rewritten by : Jeany
