Answer :
We are given an isosceles triangle with a perimeter of [tex]$7.5\,\text{m}$[/tex]. One of its sides (presumably the base) measures [tex]$2.1\,\text{m}$[/tex], and the two equal sides each have a length of [tex]$x$[/tex]. The perimeter of a triangle is the sum of the lengths of its sides. Therefore, we can set up the following equation:
[tex]$$
2.1 + x + x = 7.5
$$[/tex]
Combining like terms gives:
[tex]$$
2.1 + 2x = 7.5
$$[/tex]
This is the equation used to find the value of [tex]$x$[/tex].
To solve for [tex]$x$[/tex], we subtract [tex]$2.1$[/tex] from both sides:
[tex]$$
2x = 7.5 - 2.1 = 5.4
$$[/tex]
Then, we divide both sides by [tex]$2$[/tex]:
[tex]$$
x = \frac{5.4}{2} = 2.7
$$[/tex]
Thus, the equation used is:
[tex]$$
2.1 + 2x = 7.5
$$[/tex]
and we find that [tex]$x=2.7\,\text{m}$[/tex].
[tex]$$
2.1 + x + x = 7.5
$$[/tex]
Combining like terms gives:
[tex]$$
2.1 + 2x = 7.5
$$[/tex]
This is the equation used to find the value of [tex]$x$[/tex].
To solve for [tex]$x$[/tex], we subtract [tex]$2.1$[/tex] from both sides:
[tex]$$
2x = 7.5 - 2.1 = 5.4
$$[/tex]
Then, we divide both sides by [tex]$2$[/tex]:
[tex]$$
x = \frac{5.4}{2} = 2.7
$$[/tex]
Thus, the equation used is:
[tex]$$
2.1 + 2x = 7.5
$$[/tex]
and we find that [tex]$x=2.7\,\text{m}$[/tex].
