Compare the given dimensions of four triangles. which triangle is possible to construct?
a. side lengths of 6 m, 8 m, and 9 m
b. side lengths of 4 m, 5 m, and 12 m
c. side lengths of 2 m, 5 m, and 8 m
d. side lengths of 4 m, 7 m, and 13 m

A. side lengths of 6 m, 8 m, and 9 m

Step-by-step explanation:

To form a triangle the sum of the two sides must be greater than the third side.

Here are the 3 conditions

a + b> c

b + c > a

c + a > b

Now let's check the first option

A) a = 6, b = 8 and c = 9

6 + 7 > 9

13 > 9

Which is true.

ii) 8 + 9 > 6

17 > 6

Which is true

iii) 9 + 6 > 8

15 >8

which is true.

So the side lengths of 6m, 8m and 9m form a triangle.

Hope this will helpful.

Thank you.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

idek

step-by-step explanation: