Question

PLEASE HELP- GIVING BIG POINTS

Answer 1

d) 3, 6, 9 cannot be a triangle

Explanation:

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.

So:

a) 3+4 > 5, so yes, this can be a triangle.

b) 5+ 12 > 13, so yes, this can be a triangle.

c) 4 + 6 > 8, so yes, this can be a triangle.

d) 3+6 = 9, it's not MORE than 9, so NO, this cannot be a triangle.

Answer 2

d

Explanation:

given 3 sides of a triangle. For the lengths to form a triangle, then the sum of any 2 sides must be greater than the third side.

a 3, 4, 5

3 + 4 = 7 > 5

3 + 5 = 8 > 4

4 + 5 = 9 > 3

thus these lengths form a triangle

b 5 , 12 , 13

5 + 12 = 17 > 13

5 + 13 = 18 > 12

12 + 13 = 25 > 5

thus these lengths form a triangle

c 4 , 6 , 8

4 + 6 = 10 > 8

4 + 8 = 12 > 6

6 + 8 = 14 > 4

thus these lengths form a triangle

d 3 , 6 , 9

3 + 6 = 9 ← sum is not greater than 9

3 + 9 = 12 > 6

6 + 9 = 15 > 3

since 3 + 6 = 9 , not greater than 9 , then these lengths do not form a triangle.