College

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

Answer :

We start by noting that in an isosceles triangle two sides are equal. Let the equal sides each have length [tex]$x$[/tex] and let the shortest side have length [tex]$y = 2.1$[/tex] meters.

Since the perimeter is the sum of all sides, we have:
[tex]$$
y + 2x = 7.5
$$[/tex]

Substituting the given value of [tex]$y$[/tex], the equation becomes:
[tex]$$
2.1 + 2x = 7.5
$$[/tex]

This equation is the correct one to find [tex]$x$[/tex].

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