emetaxenioan emetaxenioan

06-09-2016
Mathematics

Answered

which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

Verified Answer :

AlonsoDehner AlonsoDehner

17-06-2019

Answer:

Obtuse triangle.

Step-by-step explanation:

Side a = 5

Side b = 2

Side c = 4

Angle ∠A = 108.21° = 108°12'36" = 1.88862 rad

Angle ∠B = 22.332° = 22°19'54" = 0.38976 rad

Angle ∠C = 49.458° = 49°27'30" = 0.86321 rad

Since one angle is above 90 degrees, the triangle is obtuse triangle.

This cannot be an acute triangle.

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