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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 shortest side, [tex]$y$[/tex], measures 2.1 m?

A. [tex]2x - 2.1 = 7.5[/tex]
B. [tex]4.2 + y = 7.5[/tex]
C. [tex]x + y - 4.2 = 7.5[/tex]
D. [tex]2.1 + 2x = 7.5[/tex]

Answer :

We begin by noting that the perimeter of the triangle is the sum of its three sides. Since the triangle is isosceles, it has two equal sides of length [tex]$x$[/tex] and a third side of length [tex]$y$[/tex]. The perimeter is given by:

[tex]$$
2x + y = 7.5
$$[/tex]

We are told that the shortest side [tex]$y$[/tex] measures [tex]$2.1\text{ m}$[/tex]. Substituting [tex]$y = 2.1$[/tex] into the equation, we have:

[tex]$$
2x + 2.1 = 7.5
$$[/tex]

This equation is the one that can be used to find the value of [tex]$x$[/tex]. Thus, the correct equation is:

[tex]$$
2.1 + 2x = 7.5
$$[/tex]

This corresponds to the fourth option.

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Rewritten by : Jeany

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