The image shows a right-angled triangle $\triangle PQR$ with:

• $PQ = 8$ cm (one leg),
• $PR = 17$ cm (hypotenuse).

To find the length of the other leg $QR$, we can use the Pythagorean theorem, which states:

$PR^2 = PQ^2 + QR^2$

Substitute the given values:

$17^2 = 8^2 + QR^2$

$289 = 64 + QR^2$

$QR^2 = 289 - 64$

$QR^2 = 225$

$QR = \sqrt{225} = 15 \, \text{cm}$

Answer:

The length of side $QR$ is 15 cm.

Would you like more details on this solution, or do you have any questions?

Related Questions:

1. How can the Pythagorean theorem be applied in other types of right-angled triangles?
2. What if the triangle had sides with different measurements? How would the calculation change?
3. How does the Pythagorean theorem relate to distance in coordinate geometry?
4. What are the properties of a right-angled triangle with integer side lengths, like this one?
5. Can we use trigonometric ratios to find angles in this triangle?

Tip:

Remember, the Pythagorean theorem only applies to right-angled triangles. Always verify the right angle before using it.