Find the measure of the side of the right triangle whose length is designated by a lowercase letter 

*b*. 

Round answers to the nearest whole number.

44165

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Part 1

b almost equals≈enter your response here 

in 

​(Do not round until the final answer. Then round to the nearest whole​ number.)

To find the length of side \( b \) in a right triangle, we generally use the Pythagorean theorem:

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

where \( c \) is the hypotenuse and \( a \) and \( b \) are the legs of the triangle. If one of these values is missing, we can solve for it using the equation. However, your question only mentions "44165" without specifying if it's a leg or the hypotenuse.

### Steps to solve:

1. **Identify which side 44165 refers to:**
   - If 44165 is the hypotenuse, then use \( a^2 + b^2 = 44165^2 \).
   - If 44165 is one of the legs, then use \( 44165^2 + b^2 = c^2 \).

2. **Solve for \( b \):**
   - For the first case: \( b^2 = 44165^2 - a^2 \).
   - For the second case: \( b^2 = c^2 - 44165^2 \).

3. **Calculate \( b \):**
   - Take the square root of \( b^2 \).

Please clarify whether 44165 represents the hypotenuse or one of the legs, or provide the missing value, so I can give you a precise answer. 

Would you like more details or have any questions?

**Relative Questions:**
1. How do you determine the hypotenuse in a right triangle?
2. What are some common Pythagorean triples?
3. How does rounding affect the accuracy of results in geometric calculations?
4. Can a right triangle have sides with irrational lengths?
5. How does the Pythagorean theorem apply in 3D geometry?

**Tip:** Always double-check which side of the triangle (hypotenuse or leg) a given length represents before applying the Pythagorean theorem.

Find the measure of the side of the right triangle whose length is designated by a lowercase letter b. Round answers to the nearest whole number. 44165.

Learn how to calculate the length of a side in a right triangle using the Pythagorean theorem. This example involves a side (b ≈ 44165). Step-by-step solutions guide you through the process. Suitable for students in Grades 8-10.

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