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. Put the distances between each point on the Bermuda Triangle.
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.
To determine if the Bermuda Triangle is really a triangle, we need to calculate the distances between each point and apply the Triangle Inequality Theorem.
The distances between each point are:
1. Miami, FL to Bermuda
- Let's assume the distance is 1000 miles.
2. Bermuda to San Juan, Puerto Rico
- Let's assume the distance is 800 miles.
3. San Juan, Puerto Rico to Miami, FL
- Let's assume the distance is 1200 miles.
To apply the Triangle Inequality Theorem, we need to check if the sum of the two shorter sides of the triangle is greater than the longest side.
In this case, we have:
- The sum of the distances from Miami to Bermuda and Bermuda to San Juan is 1000 + 800 = 1800 miles.
- The distance from San Juan to Miami is 1200 miles.
Since 1800 is greater than 1200, the Bermuda Triangle is not a triangle according to the Triangle Inequality Theorem. This means that the distances we assumed for the three sides of the triangle do not form a valid triangle.