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Brums [2.3K]
3 years ago
10

Mathematical Connections The triangle shown

Mathematics
1 answer:
V125BC [204]3 years ago
6 0
  • The length of each side is of: 13 cm, 13 cm and 6 cm.
  • The perimeter is of 32 cm

--------------------------------------

  • 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.

--------------------------------------

Value of n:

  • The two legs have the same length.
  • One is 5n - 17, and the other is 2n + 1, thus:

5n - 17 = 2n + 1

5n - 2n = 1 + 17

3n = 18

n = \frac{18}{3}

n = 6

--------------------------------------

Lengths:

The lengths are given as functions of n, since n = 6:

  • 5n - 17 = 5(6) - 17 = 30 - 17 = 13
  • 2n + 1 = 2(6) + 1 = 12 + 1 = 13
  • n = 6

The length of the sides are: 13 cm, 13 cm and 6 cm.

--------------------------------------

Perimeter:

The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.

A similar question is given at brainly.com/question/6139098

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