Show me a related relates problem involving a triangle and solve it

Let's consider a problem involving a right triangle and the Pythagorean theorem:

### Problem:
You have a right triangle with one leg of length 6 units and another leg of length 8 units. Find the length of the hypotenuse.

### Solution:
In a right triangle, the relationship between the legs and the hypotenuse is given by the **Pythagorean theorem**:

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

Where:
- \( a \) and \( b \) are the lengths of the legs,
- \( c \) is the length of the hypotenuse.

In this case, \( a = 6 \) and \( b = 8 \). Substituting these values into the equation:

\[
6^2 + 8^2 = c^2
\]
\[
36 + 64 = c^2
\]
\[
100 = c^2
\]
\[
c = \sqrt{100}
\]
\[
c = 10
\]

So, the length of the hypotenuse is **10 units**.

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Here are 5 related problems for further practice:
1

Show me a related problem involving a triangle and solve it

Learn how to solve for the hypotenuse of a right triangle with legs of lengths 6 and 8 units using the Pythagorean theorem. This step-by-step solution walks through calculating the hypotenuse as 10 units, perfect for students in Grades 7-9.

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