Question

Hello! May I please have some guidance? I didn't get this right the first time.

Answer 1

12 mm

Step-by-step explanation:

Given:

The two shorter sides of the piece of jewelry 4mm and 3 mm

To find:

The perimeter of the piece of jewelry

Since the piece of jewelry is made in the shape of a right triangle and we're given the length of the two shorter sides of the right triangle to be 4mm and 3mm, we can go ahead and determine the length of the longer side, which is the hypotenuse using the Pythagorean theorem as seen below;

`x^2=4^2+3^2`
`\begin{gathered} x^2=16+9 \\ x^2=25 \end{gathered}`

Let's take the square root of both sides;

`\begin{gathered} x=√(25) \\ x=5\text{ mm} \end{gathered}`

So the length of the longer side of the piece of jewelry is 5 mm

We can now go ahead and find the perimeter by adding all the lengths together as seen below;

`Perimeter=3+4+5=12\text{ mm}`

So the perimeter of the piece of jewelry is 12 mm