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
Related questions
Question
Given: Right △ABC with m∠C=90∘ and m∠A=60∘; AB=28
Find: BC

Transcribed Image Text:The image depicts a right triangle labeled as triangle ABC.
- **Vertices:**
- Point A is at the top of the triangle.
- Point C is the vertex of the right angle.
- Point B is at the bottom right.
- **Angle Measurement:**
- ∠ACB is the right angle (90°).
- ∠CAB is marked as 60°.
- **Sides:**
- Side AC is vertical.
- Side BC is horizontal, forming the base of the triangle.
- Side AB is the hypotenuse, opposite the right angle.
The triangle demonstrates the properties of a 30-60-90 right triangle, which is a special type of right triangle with interior angles of 30°, 60°, and 90°. These triangles have specific side ratios: the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is √3/2 times the hypotenuse.
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