Question

Triangle
4 in.
2/3 in.

Diamond
3√2 in.
4 in.

Rectangle
4 in.
4 in.

A company makes hanging omaments in various shapes. The heights of the omaments are shown. Using a calculator, order these omaments from tallest to shortest

(1 point)

Diamond, square, triangle

square, triangle, diamond

square, diamond, triangle

Triangle, square, diamond

Answer 1

To order the ornaments from tallest to shortest, let's first find the heights of each:

1. Triangle: 4 inches
2. Diamond: 3√2 inches. To approximate this, we calculate \(3 \times \sqrt{2} \approx 3 \times 1.414 \approx 4.242\) inches.
3. Rectangle (Square): 4 inches (since a square is a type of rectangle).

Now we can summarize the heights:

- Triangle: 4 inches
- Diamond: approximately 4.242 inches
- Square (Rectangle): 4 inches

Now ordering these from tallest to shortest, we get:

1. Diamond: approximately 4.242 inches
2. Triangle: 4 inches
3. Square: 4 inches

Since the triangle and the square have the same height, they can be considered equal in height, but in the context of ordering, we can just mention the diamond first.

So, the correct order from tallest to shortest is:

**Diamond, triangle, square.**

None of the options provided exactly reflect this order, but the closest option that fits would be considering them all together as Diamond, square, triangle due to equal heights.

So if selecting from the given options, the most appropriate one would likely still lead to interpretation errors since the heights are tied. If we had to follow the provided options, "square, diamond, triangle" could be misleading but it does not strictly adhere to the rules since they seem tied. But I would choose **Diamond, square, triangle** given the context they imply Visual recognition.

However, if you strictly order - **Diamond, square, triangle** would be the closest notation in equal context.