drawing triangle portfolio
question 1
find three objects that could represent the sides of a triangle can you make a triangle with these three object use a triangle inequality theorem explain why and why not
use book, box, rular
make it sound like human and a 5th grader
Human: The sides of a triangle must follow the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
5th Grader: So, I have a book, a box, and a ruler. Let's see if we can make a triangle with these! The book is 10 inches long, the box is 8 inches long, and the ruler is 6 inches long.
Human: Let's try to make a triangle with the book, box, and ruler. If we try to put the book and box together, their total length would be 18 inches, which is greater than the ruler's length. So, we can make a triangle with these three objects.
5th Grader: Yay! We can make a triangle with a book, box, and ruler because their lengths follow the triangle inequality theorem.
measurements of each object
Book: 10 inches
Box: 8 inches
Ruler: 6 inches
ruler 12 in
Book: 10 inches
Box: 8 inches
Ruler: 12 inches
application of triangle inquality theorem
The triangle inequality theorem is an important concept in geometry that helps determine if three given lengths can form a triangle. It states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In real-life applications, the triangle inequality theorem is used in various fields such as architecture, engineering, and even in everyday activities like designing furniture or arranging objects. For example, when designing a bridge, engineers must ensure that the lengths of their support beams follow the triangle inequality theorem to withstand the forces acting on the structure.
In our scenario with the book, box, and ruler, we applied the triangle inequality theorem to determine if these three objects could form a triangle based on their lengths. By measuring and comparing the lengths of the objects, we were able to see if they satisfy the conditions of the triangle inequality theorem.
make it sound like a 5th grader and a human and make it shorter
5th Grader: The triangle inequality theorem helps us figure out if three lengths make a triangle. Like, if you have a ruler that's 12 inches, and a book that's 10 inches, and a box that's 8 inches, we can see if we can make a triangle.
Human: By checking if the sum of any two sides is greater than the third side, we can apply the triangle inequality theorem in real-life situations, like designing bridges or arranging objects. In this case, we used the theorem to see if the book, box, and ruler can form a triangle based on their lengths.
The triangle inequality theorem is an important concept in geometry that helps determine if three given lengths can form a triangle. It states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In real-life applications, the triangle inequality theorem is used in various fields such as architecture, engineering, and even in everyday activities like designing furniture or arranging objects. For example, when designing a bridge, engineers must ensure that the lengths of their support beams follow the triangle inequality theorem to withstand the forces acting on the structure.
In our scenario with the book, box, and ruler, we applied the triangle inequality theorem to determine if these three objects could form a triangle based on their lengths. By measuring and comparing the lengths of the objects, we were able to see if they satisfy the conditions of the triangle inequality theorem.
make it sound like a 5th grader and a human