Question

Drawing Triangles Portfolio Worksheet
Directions: Use this worksheet to record your answers to the activity. When you
are finished, save this worksheet with your answers and submit it for a portfolio
grade.
Drawing Triangles Portfolio
Investigate the construction of a triangle in these portfolio activities. Use what you
have learned about the Triangle Angle Sum Theorem and the Triangle Inequality
Theorem to create your submissions. Record your answers below.
Question 1
Find three objects (sticks, utensils, yarn, toys, books, etc.) that could represent
the sides of a triangle. Can you make a triangle with these three objects? Use the
Triangle Inequality Theorem explain why or why not.
Measurements of each object:
Application of Triangle Inequality Theorem:
Question 2
Decide if you want to make an acute, obtuse, or right triangle. Select three angle
measures. How is the Triangle Angle Sum Theorem important for creating triangles?
How many triangles can you make with three angle measures? Using your ruler and
protractor, draw one or more (if possible) examples.
Triangle type:
Angle measures:
Triangle Angle Sum Theorem calculation:
Drawings of possible triangles:
Question 3
Is the Bermuda Triangle really a triangle? The Bermuda Triangle features vertices in
Miami, Florida; Bermuda; and San Juan, Puerto Rico. Find the distances between
these points and remember to keep all measures in the same units. Using what you
have learned about triangles, determine if the Bermuda Triangle is really a triangle.
Units used:
Fill out the table with the distance between each point on the Bermuda Triangle.
Points Distance
Miami, FL to Bermuda
Bermuda to San Juan, Puerto Rico
San Juan, Puerto Rico to Miami, FL
Apply the Triangle Inequality Theorem:
Is the Bermuda Triangle really a triangle? Explain.

Answer 1

want help with this?

Answer 2

### Drawing Triangles Portfolio Worksheet

**Question 1**
**Find three objects that could represent the sides of a triangle. Can you make a triangle with these three objects? Use the Triangle Inequality Theorem to explain why or why not.**

**Measurements of each object:**
- Object 1 (stick): 5 cm
- Object 2 (utensil): 7 cm
- Object 3 (yarn): 4 cm

**Application of Triangle Inequality Theorem:**
To form a triangle with three sides, the Triangle Inequality Theorem states that the sum of the lengths of any two sides must be greater than the length of the third side. Let’s check:

1. \(5 + 7 = 12 > 4\) (True)
2. \(5 + 4 = 9 > 7\) (True)
3. \(7 + 4 = 11 > 5\) (True)

Since all three conditions are satisfied, we can make a triangle with these objects.

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**Question 2**
**Decide if you want to make an acute, obtuse, or right triangle. Select three angle measures. How is the Triangle Angle Sum Theorem important for creating triangles? How many triangles can you make with three angle measures? Using your ruler and protractor, draw one or more (if possible) examples.**

**Triangle type:** Acute Triangle
**Angle measures:** 50°, 60°, 70°

**Triangle Angle Sum Theorem calculation:**
The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180°.
\(50° + 60° + 70° = 180°\) (True)

You can only create one triangle with these specific angle measures.

**Drawings of possible triangles:**
*(Sketch an acute triangle using a ruler and protractor and label the angles.)*

---

**Question 3**
**Is the Bermuda Triangle really a triangle?**
**Find the distances between these points and remember to keep all measures in the same units. Using what you have learned about triangles, determine if the Bermuda Triangle is really a triangle.**

**Units used:** Miles

Fill out the table with the distance between each point on the Bermuda Triangle.

| Points | Distance (miles) |
|-----------------------------------------------|-------------------|
| Miami, FL to Bermuda | 1,100 |
| Bermuda to San Juan, Puerto Rico | 1,500 |
| San Juan, Puerto Rico to Miami, FL | 1,000 |

**Apply the Triangle Inequality Theorem:**

1. \(1,100 + 1,500 = 2,600 > 1,000\) (True)
2. \(1,100 + 1,000 = 2,100 > 1,500\) (True)
3. \(1,500 + 1,000 = 2,500 > 1,100\) (True)

**Is the Bermuda Triangle really a triangle? Explain.**
Yes, based on the distances calculated and the Triangle Inequality Theorem, the Bermuda Triangle formed by Miami, Bermuda, and San Juan can be considered a triangle. All conditions of the Triangle Inequality Theorem are satisfied, confirming that these points can connect to form a triangle.