Question

explore forming triangles with different combinations of side lengths.

1. try to form a triangle by dragging points a and d. is it possible to form a triangle with side lengths 1, 5, and 3 units?

ab = 1 units
bc = 5 units
cd = 3 units

Explanation:

Step1: Apply triangle inequality theorem

The triangle inequality theorem states that for any triangle with side lengths \(a\), \(b\), and \(c\), the following must hold: \(a + b>c\), \(a + c>b\), and \(b + c>a\)

Let \(a = 1\), \(b = 3\), and \(c = 5\)

Check \(a + b>c\): \(1+3=4\) and \(4<5\)

Answer:

No, it is not possible to form a triangle with side lengths \(1\), \(3\), and \(5\) units.