Homework Help is Here – Start Your Trial Now!
Math
Calculus
In a 90°-30°-60° triangle, the shortest leg is half of the hypotenuse. True False

In a 90°-30°-60° triangle, the shortest leg is half of the hypotenuse. True False

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 7PS
See similar textbooks
icon
Related questions
Question
**Title: Understanding 90°-30°-60° Triangles** **Content:** In a 90°-30°-60° triangle, the shortest leg is half of the hypotenuse. - O True - O False [Interactive Component: Users can select either "True" or "False" as their answer option.] **Explanation:** A 90°-30°-60° triangle is a special type of right triangle. In this type of triangle: - The side opposite the 30° angle is the shortest side and is equal to half the length of the hypotenuse. - The side opposite the 60° angle is √3/2 times the length of the hypotenuse. **Example Diagram:** Unfortunately, we are unable to display diagrams here, but imagine a right triangle where: - The hypotenuse (c) is the side opposite the right angle. - The shorter leg (a), opposite the 30° angle, is half the hypotenuse (a = c/2). - The longer leg (b), opposite the 60° angle, is the hypotenuse multiplied by the square root of 3 divided by 2 (b = (√3/2)c). **Additional Note:** For practical learning and visualization, we recommend drawing the triangle and labeling the angles and sides according to the information provided to better understand the relationship between the sides and angles in a 90°-30°-60° triangle.
Transcribed Image Text:**Title: Understanding 90°-30°-60° Triangles** **Content:** In a 90°-30°-60° triangle, the shortest leg is half of the hypotenuse. - O True - O False [Interactive Component: Users can select either "True" or "False" as their answer option.] **Explanation:** A 90°-30°-60° triangle is a special type of right triangle. In this type of triangle: - The side opposite the 30° angle is the shortest side and is equal to half the length of the hypotenuse. - The side opposite the 60° angle is √3/2 times the length of the hypotenuse. **Example Diagram:** Unfortunately, we are unable to display diagrams here, but imagine a right triangle where: - The hypotenuse (c) is the side opposite the right angle. - The shorter leg (a), opposite the 30° angle, is half the hypotenuse (a = c/2). - The longer leg (b), opposite the 60° angle, is the hypotenuse multiplied by the square root of 3 divided by 2 (b = (√3/2)c). **Additional Note:** For practical learning and visualization, we recommend drawing the triangle and labeling the angles and sides according to the information provided to better understand the relationship between the sides and angles in a 90°-30°-60° triangle.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS