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This problem involves a right triangle, and you're asked to find the hypotenuse. To solve it, we use the **Pythagorean theorem**, which states:

\[
c^2 = a^2 + b^2
\]

where:
- \( c \) is the hypotenuse,
- \( a \) and \( b \) are the legs of the triangle.

Given:
- \( a = 16 \) cm,
- \( b = 10 \) cm.

Now we can calculate the hypotenuse:

\[
c = \sqrt{a^2 + b^2} = \sqrt{16^2 + 10^2}
\]

Let’s compute that.

\[
c = \sqrt{256 + 100} = \sqrt{356}
\]

\[
c \approx 18.9 \, \text{cm}
\]

So, the measure of the hypotenuse is approximately **18.9 cm**, rounded to the nearest tenth.

Would you like more details on this calculation? 

Here are 5 questions to expand your knowledge:
1. What is the Pythagorean theorem, and why does it work?
2. How can you verify if a triangle is a right triangle using side lengths?
3. What happens to the hypotenuse when the other legs are increased in length?
4. Can the Pythagorean theorem be used in non-right triangles?
5. How would the answer change if the legs were 3 times their original lengths?

**Tip:** Always make sure your units are consistent when applying the Pythagorean theorem to avoid errors.

One of the legs of a right triangle measures 16 cm and the other leg measures 10 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Learn how to find the hypotenuse of a right triangle where the legs measure 16 cm and 10 cm. This problem involves the Pythagorean theorem, a fundamental concept in geometry, suitable for students in Grades 8-10.

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