https://file.aiquickdraw.com/mathbot/file/17267102511535wsbirfu.jpg

To solve the problem of finding the length of \( IK \) from the image:

### Given:
- The entire length from \( I \) to \( L \) is 49 units.
- The length from \( L \) to \( K \) is 31 units.
- The length from \( I \) to \( J \) is 12 units.

We need to find the length \( IK \), which is the distance from \( I \) to \( K \).

### Step-by-Step Solution:
1. The length of the entire segment \( IL = 49 \).
2. The length of the segment \( LK = 31 \).
3. Therefore, the length of \( IK \) can be found by subtracting the length \( LK \) from the total length \( IL \):

   \[
   IK = IL - LK
   \]

   \[
   IK = 49 - 31 = 18
   \]

Thus, the length \( IK \) is **18 units**.

---

Do you have any questions, or would you like more details on this?  
Here are some related questions to further your understanding:

1. How do you find the length of a line segment when given other segment lengths?
2. How does the concept of subtraction apply to geometry?
3. What is the difference between finding a total length and part of a length on a line segment?
4. If \( I \) to \( L \) was 60 units, how would the calculations change?
5. Can this method be applied to three-dimensional line segments?

**Tip:** Always break down complex figures into simpler components to solve for unknowns more easily.

Find the length IK, given that the total length IL is 49 units, LK is 31 units, and IJ is 12 units.

Learn how to find the length of the line segment IK, given the total segment IL is 49 units and LK is 31 units. This geometry problem focuses on subtracting lengths of line segments to find unknown values, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation