Question

Mathematical Connections The triangle shown

Answer 1

• 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 $5n - 17$, and the other is $2n + 1$, thus:

$5n - 17 = 2n + 1$

$5n - 2n = 1 + 17$

$3n = 18$

$n = \frac{18}{3}$

$n = 6$

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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.

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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 brainly.com/question/6139098