High School

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 :

In an isosceles triangle, two sides are equal in length. Let each of these equal sides have length [tex]$x$[/tex], and let the shortest side be [tex]$y$[/tex]. The perimeter of the triangle is the sum of the lengths of its three sides:

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

We are given that the perimeter is [tex]$7.5$[/tex] meters and the shortest side [tex]$y$[/tex] is [tex]$2.1$[/tex] meters. Substituting these values into the equation, we have:

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

This is the equation that can be used to find the value of [tex]$x$[/tex].

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