Find the other side of a rectangular field if one side measures 15 m and a diagonal as 17 m

To find the other side of the rectangular field, we can use the **Pythagorean theorem**, which states that in a right-angled triangle:

\[
\text{Diagonal}^2 = \text{Side 1}^2 + \text{Side 2}^2
\]

Given:
- One side of the rectangle (Side 1) = 15 m
- Diagonal = 17 m

Let the unknown side be \( x \) (Side 2).

By the Pythagorean theorem:

\[
17^2 = 15^2 + x^2
\]

\[
289 = 225 + x^2
\]

Now, solve for \( x^2 \):

\[
x^2 = 289 - 225 = 64
\]

Take the square root of both sides:

\[
x = \sqrt{64} = 8
\]

So, the other side of the rectangular field is **8 meters**.

Would you like more details or have any questions?

Here are some related questions for further practice:
1. What is the area of this rectangular field?
2. What is the perimeter of the rectangular field?
3. How would the result change if the diagonal was 20 m instead of 17 m?
4. How can the Pythagorean theorem be applied to non-rectangular shapes?
5. Can you derive the length of the diagonal if both sides of a rectangle are known?

**Tip:** Always check that the largest value in a right triangle is used for the diagonal when applying the Pythagorean theorem.

Discover how to find the missing side of a rectangle using the Pythagorean Theorem. With one side of the rectangle measuring 15 meters and a diagonal of 17 meters, this step-by-step solution walks you through the process. Perfect for students in Grades 6-8 learning about right-angle triangles and geometric concepts.

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