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pav-90 [236]
3 years ago
10

Pls help .....30 points

Mathematics
1 answer:
Lorico [155]3 years ago
5 0

Answer:

id-2614656691

ps-0000

gddhh

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How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?
alexira [117]

Answer:

The number of non-congruent triangles that can be formed by connecting 3 of the vertices of the cube is 3 non-congruent triangles

Step-by-step explanation:

From the three dimensional shape of a cube, triangles can be constructed from;

1) 6 side faces

2) 4 front face to opposite vertices triangles

3) 4 rear face to opposite vertices triangles

Each face can produce ₄C₃ = 4 triangles

Therefore;

The total number of triangles that can be formed = 4 × 6 + 4 × 4 + 4  × 4 = 56 triangles

Of the 56 triangles, it will be found that all 24 triangles from the different 6 direct faces will have the same dimension of 1, 1, √2 are congruent

The 24 triangles formed by the sides of the faces and an adjacent diagonal have the same dimension of 1, √2, √3 and are congruent

The 8 triangles formed by joining the three diagonals have the same dimension of √2, √2, √2 are congruent

Therefore, the 56 triangles comprises of a combination of three non-congruent triangle.

There are only 3 observed non congruent triangles formed by connecting three of the vertices of the cube.

3 0
3 years ago
Read 2 more answers
I have no clue i came up with 0.6 but that's wrong according to them :[
NISA [10]

Answer:

the answer is 0.6 there is prob a glitch in th system or we r doing something wrong

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Slope of 2/3 and x-intercept of -3
Vilka [71]

Answer:

\frac{2}{3},-3

Step-by-step explanation:

7 0
3 years ago
In the standard normal curve, the mean is____ and a standard deviation of ____ .
mariarad [96]

Answer:

Standard normal curve is 0.

Standard deviation is 1.

3 0
3 years ago
Which of the following expressions cannot be simplified?
andreev551 [17]

Answer:

\sqrt {27} and \sqrt {38}

The answer is root of 27 and 38

square root of 24 = sqrt 4 × sqrt 6 = 2 root 6

square root of 32 = sqrt 16 × sqrt 2 = 4 root

square root of 27 = sqrt 9 × sqrt 3

square root of 38 = sqrt 19 × sqrt 2

square root of 27 and 38 can't be simplified

8 0
3 years ago
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