Question

How many triangles can be formed with segments measuring 4. 72 yd, 6. 31 yd, and 1. 67 yd? none one more than one.

Answer 1

The triangle inequality theorem is not followed,  no triangle can be formed.

Triangles

In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.

The triangle inequality theorem describes the relationship between the three sides of a triangle.

According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.

Here, the sides are 4.72 yds, 6.31 yds, and 1.67 yds.

4.72 + 6.31 = 11.02  >  1.67  (theorem followed)

4.72 + 1.67 = 6.39  > 6.31    (theorem followed)

6.31 + 1.67 = 7.98 > 4.72 (theorem not followed)

Since the triangle inequality theorem is not followed,

Hence, no triangle can be formed.

To know more about triangles click the link given below.

brainly.com/question/9450761