leiaayau82605
leiaayau82605 leiaayau82605
  • 20-05-2021
  • Mathematics
contestada

Given the three sides of a triangle, classify
the triangle as acute, right, or obtuse.
11, 7, 4
A. acute
B. right
C. obtuse

Given the three sides of a triangle classify the triangle as acute right or obtuse 11 7 4 A acute B right C obtuse class=

Respuesta :

jimrgrant1 jimrgrant1
  • 20-05-2021

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

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