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Is the following Triangle a right triangle If, Not what type of triangle (acute or obtuse) is it? Show your work! 3,4,6

2 Answers

3 votes

Answer:


\boxed{ \sf Obtuse \ triangle}

Step-by-step explanation:

We can check if the triangle is a right triangle or not by using Pythagorean theorem.


c=√(a^2 +b^2 )


6=√(3^2 +4^2 )


6=√(9+16 )


6=√(25 )


6=5

The triangle is not a right triangle.

When
c>√(a^2 +b^2 ), the triangle is an obtuse triangle.

User Yev Kanivets
by
3.5k points
2 votes

Answer:


\boxed{\sf Obtuse \ Angled \ Triangle}

Step-by-step explanation:

Let's check it by Pythagorean theorem:


\sf c^2 = a^2+b^2

Where c = 6, a = 4 and b = 3


\sf (6)^2= (4)^2+(3)^2


\sf 36 = 16+9


36 \\eq 25

But,


\sf 36> 25

When
\sf c^2 > a^2+b^2, then the triangle is obtuse angled triangle.

User KaoD
by
3.7k points