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Can three segments with length 4 cm 6 cm and 11 cm be assembled to form an acute triangle a right triangle or an obtuse triangle?

User Jazzmine
by
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1 Answer

4 votes

Answer:

Is an obtuse triangle

Explanation:

Let

c ----> the greater side of triangle

a and b are the other two sides of triangle

we know that

If
c^2=a^2+b^2 ----> then we have a right triangle (Pythagorean Theorem)

If
c^2>a^2+b^2 ----> then we have an obtuse triangle

If
c^2<a^2+b^2 ----> then we have an acute triangle

we have


c=11\ cm\\a=4\ cm\\b=6\ cm

substitute the given values


c^2=11^2=121


a^2+b^2=4^2+6^2=52

so


c^2> a^2+b^2

therefore

Is an obtuse triangle

User SuperOli
by
7.7k points
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