https://file.aiquickdraw.com/mathbot/file/1727224886538xi5e4lvz.jpg

This image depicts a right-angled triangle, \( \triangle PQR \), where:

- \( \overline{PR} = 21 \, \text{cm} \) (one leg),
- \( \overline{PQ} = 35 \, \text{cm} \) (the hypotenuse).

The question likely asks for the missing side \( \overline{QR} \), which can be calculated using the **Pythagorean Theorem**:

\[
PQ^2 = PR^2 + QR^2
\]

We can solve for \( QR \):

\[
35^2 = 21^2 + QR^2
\]
\[
1225 = 441 + QR^2
\]
\[
QR^2 = 1225 - 441 = 784
\]
\[
QR = \sqrt{784} = 28 \, \text{cm}
\]

Thus, the length of side \( \overline{QR} \) is \( 28 \, \text{cm} \).

Would you like further details or have any questions about this solution? 

Here are 5 related questions to expand the problem:

1. What is the area of triangle \( \triangle PQR \)?
2. How do we find the angles in triangle \( \triangle PQR \)?
3. What is the perimeter of triangle \( \triangle PQR \)?
4. Can you calculate the sine, cosine, and tangent of the angles \( \angle P \) and \( \angle R \)?
5. How would the result change if one of the side lengths was different?

**Tip:** Remember that in right-angled triangles, the hypotenuse is always the longest side!

Diberikan sebuah segitiga PQR pada gambar berikut!

Learn how to find the missing side length of a right-angled triangle PQR using the Pythagorean Theorem. This problem involves calculating side lengths, applying core geometric concepts, and understanding the properties of right triangles. Suitable for students in Grades 7-9.

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