Suppose a cube is given. How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?

The number of non-congruent triangles that can be formed from the vertices of a cube are 3 triangles

Step-by-step explanation:

The number of non congruent triangles that can be formed by connecting 3 of thee vertices of the cube is found as follows;

The available different lengths of segments joining two vertices of a cube of side length s = 2 are;

2, 2·√2, and 2·√3

Therefore, since there are only three different side lengths we have the possible triangle dimensions given as follows

Distinct triangle one = 2, 2, 2·√2

Distinct triangle two = 2·√2, 2·√2, 2·√2

Distinct triangle three = 2, 2·√3, 2·√2

Therefore, there are ₃C₃ = 3 ways of forming three non-congruent triangles from the vertices of a cube.

15

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have