Rhombus Diagonal Length: Verify if DC = 8 cm in a 7 cm Side Rhombus

A rhombus has a side length measuring 7 cm.

Is DC equal to 8 cm?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Is the side D C equal to eight?
00:10 Remember, in a rhombus, all sides are the same length.
00:16 Let's substitute the side length based on the given information.
00:23 We'll find that D C actually equals seven, not eight.
00:32 And that's the solution to the question!

Step-by-step written solution

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1

Understand the problem

A rhombus has a side length measuring 7 cm.

Is DC equal to 8 cm?

777AAABBBDDDCCC

2

Step-by-step solution

Let's recall the properties of a rhombus. In a rhombus, all sides are equal to each other, therefore DC cannot be equal to 8 cm.

Additionally, in a rhombus, there are 2 pairs of parallel and equal sides. Since the side parallel to AB is CD, it must be equal to 7 cm.

3

Final Answer

No

Practice Quiz

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Look at the rhombus in the figure.

What is the relationship between the marked angles?

BAAB

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