Question

Drawing Triangles Portfolio. use the worksheet to record your answers to the drawing triangles portfolio activity. when you are finished, save your worksheet with your answer and submit it for a portfolio grade. triangles are all around. understanding triangles is important for work in many areas, not simply math. triangles are used to build bridges, homes, and other structures. triangles are used to find distance between geographic locations. in this portfolio, youl will demonstrate your understanding of triangles. 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 to explain why or why not.decide if you want to make an acute,obtuse, or right triangle and select three angle measures. how many triangles can you make with three angle measures? draw one or more(if possible) examples. is the bermuda triangle really a triangle? the bermuda triangle,somtimes called the devil's triangle, is an imaginary space in the north atlantic ocean.legend famously says ships,aircrafts,and people have disappeared when crossing this particular part of the ocean. the diagram shows the region in question.the bermuda triangle features vertices in miami,florida; bermuda; and san juan, puerto rico. find the distances between these points. using what you have learned about triangles, determine if the bermuda triangle is really a triangle. write it as a 6th grader in a 100% human type writting.

Answer 1

Drawing Triangles Portfolio

My name: [Your name]
Date: [Today]

1) Objects I picked to be the sides of a triangle
- Object A: wooden stick from a craft kit — 10 inches
- Object B: a pencil — 7 inches
- Object C: string cut to 5 inches

Can I make a triangle with these three objects?
- I checked using the Triangle Inequality Theorem. The theorem says: the sum of the lengths of any two sides must be greater than the third side for a triangle to be possible.
- 10 + 7 = 17, and 17 > 5 ✔
- 10 + 5 = 15, and 15 > 7 ✔
- 7 + 5 = 12, and 12 > 10 ✔
- Since all three sums are greater than the remaining side, yes — I can make a triangle with the 10", 7", and 5" pieces.

(Extra note: If I had used a 12" ruler, 7" pencil, and 5" string, then 7 + 5 = 12 which equals the ruler. That would lie flat and would NOT make a triangle because the sum has to be greater, not equal.)

2) Which type of triangle I chose and angle measures
- I wanted to make an acute triangle (all angles less than 90°).
- I picked these angle measures: 60°, 65°, and 55°. They add to 180° so they are valid.
- How many triangles can you make with these three angle measures?
- All triangles with those angles have the same shape (they are similar), but you can make them any size. So there are infinitely many triangles that look the same but are bigger or smaller. If you fix the side lengths too, then there would be just one triangle.
- Drawing (description you can copy to your worksheet):
- Draw a base segment. At the left end make a 60° angle and draw the second side. At the right end make a 55° angle and draw the third side so the two meet. Label the angles 60°, 65°, and 55°.

3) The Bermuda Triangle — is it really a triangle?
- The Bermuda Triangle is an area in the North Atlantic that people talk about. Its three famous points (vertices) are:
- Miami, Florida
- Bermuda
- San Juan, Puerto Rico

I found the distances between these three places (straight-line distances over the Earth’s surface, rounded):
- Miami to Bermuda ≈ 1,036 miles (1,668 km)
- Bermuda to San Juan ≈ 962 miles (1,548 km)
- San Juan to Miami ≈ 1,029 miles (1,656 km)

Does this make a triangle?
- Check the Triangle Inequality Theorem:
- 1,036 + 962 = 1,998 and 1,998 > 1,029 ✔
- 1,036 + 1,029 = 2,065 and 2,065 > 962 ✔
- 962 + 1,029 = 1,991 and 1,991 > 1,036 ✔
- All three tests pass, so yes — the three points form a triangle on the map.
- What kind of triangle is it?
- Using the side lengths, I checked the angles with the law of cosines (roughly). The three angles are all less than 90°, so the Bermuda Triangle is an acute triangle (not a right or obtuse triangle).
- Conclusion about the legend:
- Geographically, the Bermuda Triangle is really a triangle-shaped area because Miami, Bermuda, and San Juan make three points that are not in a straight line.
- The stories about mysterious disappearances are legends and do not change the fact that the three places make a real triangle on maps.

What I learned (short reflection)
- The Triangle Inequality Theorem is a quick way to test if three lengths can be the sides of a triangle.
- Three angle measures that add to 180° tell you the shape of a triangle, and there can be many sizes of that same shape.
- Real places like Miami, Bermuda, and San Juan can be used to make a triangle, and math helps prove it.

(Teacher: I drew the triangle with my three objects and measured the angles to match my chosen acute triangle. You can check my drawing on my saved worksheet file.)