High School

The length of the base of an isosceles triangle is [tex]x[/tex]. The length of a leg is [tex]2x - 7[/tex]. The perimeter of the triangle is 16. Find [tex]x[/tex].

Answer :

The length of the base of an isosceles triangle is x = 6.

The length of the base of an isosceles triangle is x. In geometry, an isosceles triangle is a triangle with at least two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case. The length of a leg is 2x - 7. The perimeter of the triangle is 16. A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length.

P = x + 2*(2x - 7)

16 = x + 4x - 14

30 = 5x

x = 6

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