The length of the base of an isosceles triangle is x. The length of a leg is 2x - 6. The perimeter is 53. Find x.

Kaycee Roche

Kaycee Roche

Answered question

2021-01-16

The length of the base of an isosceles triangle is x. The length of a leg is 2x - 6. The perimeter is 53. Find x.

Answer & Explanation

Jayden-James Duffy

Jayden-James Duffy

Skilled2021-01-17Added 91 answers

An isosceles triangle has congruent legs. The perimeter is the product of the lengths of the three sides, therefore we write:
x+(2x−6)+(2x−6)=53 
Solve for x: 5x−12=53 
5x=65 
x=655 
x=13

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