The vertex of ∠A B C is located at the origin. Point A is located at (5,0) and Point C is located at (0,2). How can ∠A B C be cl

Question

klasskru [66]

1 year ago

14

The vertex of ∠A B C is located at the origin. Point A is located at (5,0) and Point C is located at (0,2). How can ∠A B C be cl

assified?
A. acute
C. right
B. obtuse
D. scalene

Mathematics

1 answer:

mixer [17] · Answer 1 · 2024-03-03T13:54:27+03:00

As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)

<h3>How to determine the features of an angle set on Cartesian plane</h3>

Herein we find the locations of the three vertices of the figure, of which we must determine the lengths of the two sides of the angle and determine the value of the angle by trigonometry:

BA = 5, BC = 2

θ = tan⁻¹ (BA / BC)

θ = tan⁻¹ (5 / 2)

θ ≈ 68.199°

As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)

To learn more on acute angles: brainly.com/question/2761036

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