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mylen [45]
3 years ago
14

Do the side lengths 4, 5, and 10 form a triangle? Select the correct answer and reasoning.

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Answer:

No, because 5 + 4 isn't greater than 10.

Step-by-step explanation:

Given

Side\ 1 = 4

Side\ 2 = 5

Side\ 3 = 10

Required

Do they form a triangle

To check if they form a triangle or not, we make use of trinagle inequality theorem which states that; for sides a, b and c

a + b > c

a + c > b

b + c > a

So for sides 4, 5 and 10, we have:

4 +  5 > 10 --- False

4 + 10 > 5

5 + 10 > 4

<em>Since the one of the inequalities is false, then the sides do not form a triangle.</em>

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