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Given:  Right △ABC with m∠C=90∘ and m∠A=60∘; AB=13 Find:  AC¯¯¯¯¯¯¯¯   26  13√2 divided by 2   13/2  13√3  13  13√2

Given:  Right △ABC with m∠C=90∘ and m∠A=60∘; AB=13 Find:  AC¯¯¯¯¯¯¯¯   26  13√2 divided by 2   13/2  13√3  13  13√2

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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Given:  Right △ABC with m∠C=90∘ and m∠A=60∘; AB=13
Find:  AC¯¯¯¯¯¯¯¯
 
26


 13√2 divided by 2
 

13/2


 13√3


 13


 13√2
The image depicts a right triangle labeled ABC. - Vertex A is positioned at the top left. - Vertex B is at the bottom right. - Vertex C is at the bottom left, marked with a right angle indicator. The angle at vertex A is 60°. This triangle is oriented so that: - Line segment AC is vertical. - Line segment BC is horizontal. - Line segment AB is the hypotenuse of the right triangle. This diagram is commonly used to introduce concepts related to right triangles, such as trigonometric ratios and the properties of a 30-60-90 triangle. In a 30-60-90 triangle, the sides have a specific ratio: the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is the square root of three times the side opposite the 30° angle.
Transcribed Image Text:The image depicts a right triangle labeled ABC. - Vertex A is positioned at the top left. - Vertex B is at the bottom right. - Vertex C is at the bottom left, marked with a right angle indicator. The angle at vertex A is 60°. This triangle is oriented so that: - Line segment AC is vertical. - Line segment BC is horizontal. - Line segment AB is the hypotenuse of the right triangle. This diagram is commonly used to introduce concepts related to right triangles, such as trigonometric ratios and the properties of a 30-60-90 triangle. In a 30-60-90 triangle, the sides have a specific ratio: the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is the square root of three times the side opposite the 30° angle.
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