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

Question

asked Jan 6, 2021 15.0k views

2 Answers

Yev Kanivets · Answer 1 · 2021-01-07T16:12:03+0000

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.

KaoD · Answer 2 · 2021-01-12T06:33:50+0000

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.