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Stella [2.4K]
2 years ago
13

Which statements regarding triangle e f g are true? select three options. e f f g greater-than e g e g f g greater-than e f e g

minus f g less-than e f e f minus f g greater-than e g e g e f less-than f g
Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
7 0

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct options are A, B, and C.

<h3>What is the triangle inequality theorem?</h3>

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

  • (a+b) > c
  • (b+c) > a
  • (c+a) > b

For the given triangle, using the triangle inequality law, we can write,

EF + FG > EG

FG + EG > EF

EG + EF > FG

Hence, the correct options are A, B, and C.

Learn more about the Triangle Inequality Theorem:

brainly.com/question/342881

#SPJ1

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Answer:

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Step-by-step explanation:

Step 1:

- We will first mark each weight from left most to right most.

               Point:                      Weight:                             Moment arm r_a

               G_3                          W_g3 = 169                     30*Cos(75) + 4.25

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Step 2:

- Set up a sum of moments about pivot point A, the expression would be as follows:

(M)_a = -W_g3*(30cos(75) + 4.25) - W_g2*(30*Cos(75) + 2.5) - W_g1*10*cos(75)

Step 3:

- Plug in the values and solve for (M)_b, as follows:

    (M)_a = -169*(30cos(75) + 4.25) - 220*(30*Cos(75) + 2.5) - 1500*10*cos(75)

    (M)_a = -2030.462559 -2258.205698 - 3882.285677

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