Question

Given the three sides of a triangle, classify

the triangle as acute, right, or obtuse.
11, 7, 4
A. acute
B. right
C. obtuse

Answer 1

acute

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 =
`√(11)`, b =
`√(7)` , c = 4

c² = 4² = 16

a² + b² = (
`√(11)` )² + (
`√(7)` )² = 11 + 7 = 18

Since a² + b² > c² then triangle is acute