- The length of each side is of: 13 cm, 13 cm and 6 cm.
- The perimeter is of 32 cm
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- If a triangle is isosceles, it means that two sides have equal measures.
- The perimeter of a polygon is the sum of the lengths of all its sides.
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Value of n:
- The two legs have the same length.
- One is [tex]5n - 17[/tex], and the other is [tex]2n + 1[/tex], thus:
[tex]5n - 17 = 2n + 1[/tex]
[tex]5n - 2n = 1 + 17[/tex]
[tex]3n = 18[/tex]
[tex]n = \frac{18}{3}[/tex]
[tex]n = 6[/tex]
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Lengths:
The lengths are given as functions of n, since n = 6:
- [tex]5n - 17 = 5(6) - 17 = 30 - 17 = 13[/tex]
- [tex]2n + 1 = 2(6) + 1 = 12 + 1 = 13[/tex]
- [tex]n = 6[/tex]
The length of the sides are: 13 cm, 13 cm and 6 cm.
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Perimeter:
The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.
A similar question is given at https://brainly.com/question/6139098
