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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-example-1
User Nomnom
by
8.4k points

1 Answer

3 votes

Answer:

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

User Skinp
by
8.3k points

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