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Natalka [10]
2 years ago
13

Can the sides of a triangle have lengths 3.5, 10.9, and 14.4?

Mathematics
1 answer:
andrew11 [14]2 years ago
4 0

Answer:

No

Step-by-step explanation:

A triangle can NOT have those lengths because any side of a triangle has to have a length greater than the sum of the other two sides. In this case, 14.4, one of the sides, is not greater than the sum of the other two sides (which is also 14.4).

Hope this helps :)

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To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.

-\!\!\!-\!\!\!-\!\!\!\longrightarrow\boldsymbol{a^2+b^2=c^2}

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\bold{2^2+28^2=c^2} -\!\!\!-\!\!\!-\!\!\!\longrightarrow square 2 and 28

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Hope the answer - and explanation - made sense,

happy studying!!

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