Each side of a rhombus is 6 cm and its area is 10.2 cm². Find the altitude of the rhombus.

To find the altitude of the rhombus, we can use the formula for the area of a rhombus:

\[
\text{Area} = \text{side} \times \text{altitude}
\]

Where:
- The side length of the rhombus is 6 cm.
- The area of the rhombus is 10.2 cm².

Let \( h \) be the altitude. Plugging in the known values:

\[
10.2 = 6 \times h
\]

Now, solve for \( h \):

\[
h = \frac{10.2}{6} = 1.7 \, \text{cm}
\]

So, the altitude of the rhombus is \( 1.7 \, \text{cm} \).

Would you like more details or have any questions?

Here are some related questions to expand your understanding:
1. What is the relationship between the diagonals of a rhombus and its area?
2. How do you calculate the area of a rhombus if you know its diagonals?
3. Can the altitude of a rhombus ever be greater than its side length? Why or why not?
4. How does the formula for the area of a parallelogram relate to that of a rhombus?
5. What would happen to the altitude if the area of the rhombus doubled but the side length stayed the same?

**Tip:** The altitude of a rhombus is the perpendicular distance from one of its sides to the opposite side, and it helps determine how "tilted" the shape is!

Learn how to find the altitude of a rhombus where each side is 6 cm and the area is 10.2 cm². This step-by-step solution explores the geometric relationship between the side length, area, and altitude of a rhombus. Suitable for students in Grades 6-8.

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