https://file.aiquickdraw.com/mathbot/file/17293582509466t7ihfic.jpg

The image is slightly blurry, but I can still make out the problem as follows:

- "Draw a line segment of length 7.6 cm and divide it in the ratio 2:5. Measure the two parts."

To solve this:

### Step-by-step procedure:
1. **Draw the line segment:**
   - Use a ruler and draw a line segment of **7.6 cm**.

2. **Divide the line segment in the ratio 2:5:**
   - The total parts in the ratio is \(2 + 5 = 7\) parts.
   - To find the length of each part:
     \[
     \text{One part} = \frac{7.6 \, \text{cm}}{7} = 1.0857 \, \text{cm}
     \]

3. **Calculate the lengths of each part:**
   - For the part corresponding to 2: 
     \[
     2 \times 1.0857 \, \text{cm} = 2.1714 \, \text{cm}
     \]
   - For the part corresponding to 5:
     \[
     5 \times 1.0857 \, \text{cm} = 5.4286 \, \text{cm}
     \]

4. **Measure and mark:**
   - Measure and mark the first part of length **2.17 cm** on the line.
   - The remaining segment will be **5.43 cm**.

Would you like further details or have any questions?

Here are some related questions:
1. What is the geometric method to divide a line segment into a given ratio without measuring?
2. How can you use a compass to divide a segment into equal parts?
3. What are real-world applications of dividing a line segment into a ratio?
4. How does the concept of ratio apply in coordinate geometry for finding points on a line?
5. How would this problem change if the line segment were in 3D space?

**Tip:** Ratios help in dividing quantities in specific proportions, and can be extended beyond geometry to many fields such as physics and finance.

Draw a line segment of length 7.6 cm and divide it in the ratio 2:5. Measure the two parts.

Learn how to divide a line segment of length 7.6 cm in the ratio 2:5. Follow the step-by-step guide to measure the two parts accurately, 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