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.

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