https://file.aiquickdraw.com/mathbot/file/1725988153276iy69emip.jpg

The image shows a right triangle with one leg measuring 10 units, another leg labeled as "x" (which is the unknown side), and the hypotenuse measuring 15 units.

We can apply the **Pythagorean Theorem** to find the missing side. The theorem states:

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

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

In this case:
- \( a = 10 \)
- \( c = 15 \)
- \( b = x \) (the unknown side)

Let's solve for \( x \).

\[
10^2 + x^2 = 15^2
\]
\[
100 + x^2 = 225
\]
\[
x^2 = 225 - 100
\]
\[
x^2 = 125
\]
\[
x = \sqrt{125} \approx 11.2
\]

So, the missing side \( x \) is approximately **11.2 units** (rounded to the nearest tenth).

Would you like further clarification or details?

Here are some related questions:
1. How does the Pythagorean Theorem apply to non-right triangles?
2. Can you find the perimeter of this triangle?
3. What is the area of the triangle based on the given side lengths?
4. How does trigonometry relate to solving right triangles like this?
5. Can we solve for the angles in this triangle?

**Tip**: Always check that you're working with a right triangle before using the Pythagorean Theorem.

Find the missing side in a right triangle where one leg is 10 units, the hypotenuse is 15 units, and the other leg is unknown.

Solve the right triangle where one leg is 10 units, the hypotenuse is 15 units, and the missing side is unknown. This problem applies the Pythagorean Theorem and involves calculating the missing side to be approximately 11.2 units.

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