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What will be the answer of this​

What will be the answer of this​-example-1
User Yairopro
by
8.7k points

1 Answer

6 votes

Answer:

a) yes

b) no

c) no, please see my notes below.

d) no

Explanation:

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

a) 3, 4, 5

Add up the two shortest sides:

3+4 = 7

7 > 5 (the longest side), so yes, this can be a triangle.

b) 5, 7, 12

Add up the shortest side:

5 + 7 = 12

12 is NOT greater than 12, so no, this can't be a triangle.

c) 3*4, 2, 5*8 (what is your teacher asking for?! Does s/he mean 3.4 or 3*4? That dot is in a very odd position.)

If s/he means 3*4 and 5*8, then the sides would be:

12, 2, 40

12+2 = 14

14 is NOT greater than 40, so it can't be a triangle.

If s/he means 3.4, 2, 5.8

3.4 + 2 = 5.4

5.4 is NOT greater than 5.8 so it can't be a triangle.

d) 6, 7, 14

6 +7 = 13

13 is NOT greater than 14, so no, this can't be a triangle.

User Nuzhat Zari
by
7.7k points

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