Respuesta :

Answer:

acute

Step-by-step explanation:

Given the 3 sides of a triangle a, b, c ( where c is the longest )

• If a² + b² = c² ⇒ right triangle

• If a² + b² > c² ⇒ acute angled triangle

• If a² + b² < c² ⇒ obtuse angled triangle

Here a = [tex]\sqrt{11}[/tex], b = [tex]\sqrt{7}[/tex] , c = 4

c² = 4² = 16

a² + b² = ([tex]\sqrt{11}[/tex] )² + ([tex]\sqrt{7}[/tex] )² = 11 + 7 = 18

Since a² + b² > c² then triangle is acute