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:

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7 0

2 years ago

Which is the direct linear variation equation for the relationship?

jenyasd209 [6]

I'm going to guess but I believe it is A

7 0

3 years ago

Devisibility rules for 3, 6, and 9

fenix001 [56]

Answer:

★ Divisibility rule for 3 -

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

Example 1 - 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

★ Divisibility rule for 6 -

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

Example 2 - 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

★ Divisibility rule for 9 -

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

Example 3 - 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.

3 0

3 years ago