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The length of the base of an isosceles triangle is x. The length of a leg is 2x - 3. The perimeter of the triangle is 34. Find x.

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Skøll1922idn

Answer:

x=8

Step-by-step explanation:

If the triangle is isosceles, it means that 2 of its sides are equal in length, therefore its perimeter is equal to

[tex](2x - 3) + (2x - 3) + (x)[/tex]

Adding similar terms, and recalling that the perimeter is equal to 34, we get

[tex]5x - 6 = 34 \\ 5x = 40 \\ x = 8[/tex]

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