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)

Odismend, square, triangle

square, thangle diamond

square, diamond, thangle

Inange, square, diamond

1 answer

To order the ornaments from tallest to shortest, we first need to interpret the heights given for each shape.

  1. Triangle: Height = 4 in
  2. Diamond: The diamond's height is not explicitly given; however, if we take the height as the shorter side of its vertical cross-section, this would be 4 in (assuming the widest part stands upright), while the other given dimension of \(3\sqrt{2} \approx 4.24\) in can be considered its diagonal.
  3. Rectangle (Square): Height = 4 in

Now, let's list the heights:

  • Triangle: 4 in
  • Diamond: 4.24 in (if we interpret it as the diagonal)
  • Square: 4 in

Now, we can rank them from tallest to shortest:

  1. Diamond: \(3\sqrt{2} \approx 4.24\) in
  2. Triangle: 4 in
  3. Square: 4 in

So the ranking based on the heights is:

  • Diamond
  • Triangle
  • Square

Assuming "square" refers to a square ornament rather than a rectangle, and interpreting "thangle" to likely mean "triangle", the order would be:

Answer: diamond, triangle, square.

(Note: It seems there was an issue with the options you provided as none match this exact ordering; you might want to clarify "thangle" and check for any typographical errors.)