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18° A 16 71° B

18° A 16 71° B

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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what are the missing sides and angle?

I need an explanation please i need to study for a test i want  to know the process.

Below is a transcription of the provided diagram for an educational website: --- ### Triangle Geometry In the diagram provided, we have a triangle labeled ABC. Let's examine the details of this triangle: - **Vertices**: The triangle has three vertices labeled A, B, and C. - **Sides**: - Side \(AB\) is opposite vertex \(C\). - Side \(AC\) is opposite vertex \(B\). - Side \(BC\) is opposite vertex \(A\) and measures 16 units in length. - **Angles**: - \(\angle A\) is at vertex \(A\) and is not explicitly labeled in the diagram. - \(\angle B\) is at vertex \(B\), measuring \(71^\circ\). - \(\angle C\) is at vertex \(C\), measuring \(18^\circ\). From the information provided in the diagram, one can infer that \(\angle A\) can be calculated using the fact that the sum of the interior angles of a triangle is \(180^\circ\): \[ \angle A = 180^\circ - ( \angle B + \angle C ) = 180^\circ - ( 71^\circ + 18^\circ ) = 91^\circ \] This triangle appears to be a scalene triangle, as all its sides are different in length (though measurements for sides \(AB\) and \(AC\) are not provided, the angle measures suggest non-equal sides). --- This analysis provides insights into the geometrical properties of the triangle, aiding students in understanding basic concepts related to triangles.
Transcribed Image Text:Below is a transcription of the provided diagram for an educational website: --- ### Triangle Geometry In the diagram provided, we have a triangle labeled ABC. Let's examine the details of this triangle: - **Vertices**: The triangle has three vertices labeled A, B, and C. - **Sides**: - Side \(AB\) is opposite vertex \(C\). - Side \(AC\) is opposite vertex \(B\). - Side \(BC\) is opposite vertex \(A\) and measures 16 units in length. - **Angles**: - \(\angle A\) is at vertex \(A\) and is not explicitly labeled in the diagram. - \(\angle B\) is at vertex \(B\), measuring \(71^\circ\). - \(\angle C\) is at vertex \(C\), measuring \(18^\circ\). From the information provided in the diagram, one can infer that \(\angle A\) can be calculated using the fact that the sum of the interior angles of a triangle is \(180^\circ\): \[ \angle A = 180^\circ - ( \angle B + \angle C ) = 180^\circ - ( 71^\circ + 18^\circ ) = 91^\circ \] This triangle appears to be a scalene triangle, as all its sides are different in length (though measurements for sides \(AB\) and \(AC\) are not provided, the angle measures suggest non-equal sides). --- This analysis provides insights into the geometrical properties of the triangle, aiding students in understanding basic concepts related to triangles.
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