A charm on a necklace is in the shape of an isosceles triangle with dimensions shown. Determine the polynomial expression that represents the perimeter of the charm.

Question

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Answer 1

To find the polynomial expression that represents the perimeter of the isosceles triangle charm, we need to know the lengths of its sides.

Let’s assume the isosceles triangle has the following characteristics for its sides:

• The lengths of the two equal sides are \( a \),
• The base of the triangle is \( b \).

The perimeter \( P \) of a triangle is the sum of the lengths of all its sides. Therefore, the perimeter of this isosceles triangle can be expressed as:

\[ P = a + a + b = 2a + b \]

Thus, the polynomial expression that represents the perimeter of the charm is:

\[ P = 2a + b \]

Make sure to replace \( a \) and \( b \) with any specific values if they are provided for the dimensions of the triangle. If you have specific values for the lengths of the sides, please provide them for a numerical answer.