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.

Question
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.

Answers (1)

2021-01-17
The legs of an isosceles triangle are congruent. Since the perimeter is the sum of the three side lengths, we write:
x+(2x−6)+(2x−6)=53
Solve for x: 5x−12=53
5x=65
\(\displaystyle{x}=\frac{{65}}{{5}}\)
x=13
0

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