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Determine if the values 3, 5, and 7 represent the side lengths of a right triangle, an obtuse triangle, or an acute triangle. Justify your answer.

User Krzyhub
by
8.1k points

1 Answer

5 votes

Answer:

It's an acute triangle.

Explanation:

In a triangle ABC with longest side C:

If
c^2>a^2+b^2 then ABC is acute

If
c^2=a^2+b^2 then ABC is right

If If
c^2<a^2+b^2 then ABC is obtuse

In this case A=3, B=5 and C=7. Let's see:


7^2 ? 3^2+5^2


49 ? &nbsp;9+25


49 > &nbsp;34

As 49 is bigger than 34, then ABC is acute.

User Chris Geirman
by
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