https://file.aiquickdraw.com/mathbot/file/17285758142885y4t80fl.jpg

The problem in the image asks for the perimeter of a triangle. Based on the dimensions provided:

- One side of the triangle is 10 cm,
- Another side (the base) is 21 cm,
- The third side is 17 cm.

### Perimeter Calculation:
The perimeter \( P \) of a triangle is simply the sum of the lengths of its three sides. So, we calculate:

\[
P = 10 \, \text{cm} + 21 \, \text{cm} + 17 \, \text{cm}
\]

\[
P = 48 \, \text{cm}
\]

Therefore, the perimeter of the triangle is \( \boxed{48 \, \text{cm}} \).

Would you like further details on the calculation or have any questions?

Here are 5 related questions to consider:
1. How would you calculate the area of this triangle using the given dimensions?
2. What would be the perimeter if one side were increased by 5 cm?
3. Can you identify this triangle based on its angles (right triangle)?
4. How does knowing the height (8 cm) help in finding the area?
5. What is the relationship between the sides in a right triangle?

**Tip:** The Pythagorean theorem can help verify that the triangle is a right triangle by relating its sides.

Find the perimeter of the triangle with sides 10 cm, 17 cm, and 21 cm.

Learn how to calculate the perimeter of a right triangle with sides 10 cm, 17 cm, and 21 cm. This guide uses basic geometry concepts and the perimeter formula. Suitable for middle school students in Grades 6-8.

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