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This problem involves a right triangle where one leg is given as 1 cm, and the hypotenuse is 2 cm. We are asked to find the length of the other leg, using the Pythagorean theorem.

### The Pythagorean Theorem:
For a right triangle, the Pythagorean theorem states:
\[
a^2 + b^2 = c^2
\]
where:
- \(a\) and \(b\) are the lengths of the two legs,
- \(c\) is the length of the hypotenuse.

### Step-by-step solution:

1. Given:
   \[
   a = 1 \text{ cm}, \quad c = 2 \text{ cm}
   \]
   We need to find \(b\) (the other leg).

2. Substitute the known values into the Pythagorean theorem:
   \[
   1^2 + b^2 = 2^2
   \]
   \[
   1 + b^2 = 4
   \]

3. Solve for \(b^2\):
   \[
   b^2 = 4 - 1 = 3
   \]

4. Take the square root of both sides:
   \[
   b = \sqrt{3} \approx 1.732
   \]

5. Round to the nearest tenth:
   \[
   b \approx 1.7 \text{ cm}
   \]

### Final answer:
The length of the other leg is approximately **1.7 cm**.

Would you like further details on any step or have any questions?

Here are 5 related questions to explore this further:
1. How can we use the Pythagorean theorem to find the hypotenuse when both legs are known?
2. What are the conditions for using the Pythagorean theorem?
3. How does rounding affect accuracy in real-world problems?
4. Can the Pythagorean theorem be applied to non-right triangles?
5. What is the significance of square roots in geometry?

**Tip**: The Pythagorean theorem is only applicable to right triangles! Make sure the triangle you're working with has a 90° angle before applying it.

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Learn how to find the length of the other leg of a right triangle using the Pythagorean theorem. Given one leg as 1 cm and the hypotenuse as 2 cm, this solution provides a detailed step-by-step approach. Suitable for students in Grades 7-9.

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