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2 years ago

Can 9 40 41 make a triangle

Mathematics

1 answer:

maksim [4K]2 years ago

7 0

Answer:

yes

Step-by-step explanation:

Hi there!

We want to see if 9, 40, and 41 can be the sides of a triangle that can exist

We can use triangle inequalities to figure that out

For triangle inequalities, if the lengths of the sides are a, b, and c, then a+b>c, b+c>a, and c+a>b, then the lengths can make a triangle
Let's say that a=9, b=40, and c=41

Now substitute these values into the inequalities:

a+b>c

9+40>41

49>41

This is a true statement.

b+c>a

40+41>9

81>9

This is also a true statement.

41+9>40

50>40

This is a true statement as well.

Since all three of the inequalities ended up being true (all three NEED to be true in order for the given lengths to make a triangle), then we can confirm that 9, 40, and 41 can make a triangle

Hope this helps!

See more on this topic here: brainly.com/question/17357347

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Can 9 40 41 make a triangle​

Can 9 40 41 make a triangle