Answer :
To solve this problem, we're dealing with an isosceles triangle that has a perimeter of 7.5 meters. In an isosceles triangle, two sides are equal in length. We're given that the shortest side, [tex]\( y \)[/tex], measures 2.1 meters.
Let's denote the other two equal sides as [tex]\( x \)[/tex].
Since the triangle is isosceles, the formula for the perimeter of the triangle is:
[tex]\[ \text{Perimeter} = y + 2x \][/tex]
We are provided with the perimeter as 7.5 meters and the shortest side [tex]\( y \)[/tex] as 2.1 meters. So, the equation becomes:
[tex]\[ 7.5 = 2.1 + 2x \][/tex]
Now, let's solve for [tex]\( x \)[/tex]:
1. Start with the equation:
[tex]\[ 7.5 = 2.1 + 2x \][/tex]
2. Subtract 2.1 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 7.5 - 2.1 = 2x \][/tex]
3. Calculate the value on the left side:
[tex]\[ 5.4 = 2x \][/tex]
4. Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{5.4}{2} \][/tex]
5. Calculate [tex]\( x \)[/tex]:
[tex]\[ x = 2.7 \][/tex]
So, the equation that we used to find the value of [tex]\( x \)[/tex] is [tex]\( 2.1 + 2x = 7.5 \)[/tex].
Let's denote the other two equal sides as [tex]\( x \)[/tex].
Since the triangle is isosceles, the formula for the perimeter of the triangle is:
[tex]\[ \text{Perimeter} = y + 2x \][/tex]
We are provided with the perimeter as 7.5 meters and the shortest side [tex]\( y \)[/tex] as 2.1 meters. So, the equation becomes:
[tex]\[ 7.5 = 2.1 + 2x \][/tex]
Now, let's solve for [tex]\( x \)[/tex]:
1. Start with the equation:
[tex]\[ 7.5 = 2.1 + 2x \][/tex]
2. Subtract 2.1 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 7.5 - 2.1 = 2x \][/tex]
3. Calculate the value on the left side:
[tex]\[ 5.4 = 2x \][/tex]
4. Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{5.4}{2} \][/tex]
5. Calculate [tex]\( x \)[/tex]:
[tex]\[ x = 2.7 \][/tex]
So, the equation that we used to find the value of [tex]\( x \)[/tex] is [tex]\( 2.1 + 2x = 7.5 \)[/tex].
