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 with two equal sides of length [tex]$x$[/tex] and the third side of length [tex]$y$[/tex], the perimeter is given by

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

Since the shortest side, [tex]$y$[/tex], measures [tex]$2.1$[/tex] m, we substitute [tex]$y=2.1$[/tex] into the equation:

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

This is exactly the equation given in the option:

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

Thus, the correct answer is the fourth option.

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