Concept explainers
To calculate:
The probability of the point chosen at the random lies in shaded region.
Answer to Problem 24PPS
The probability of the point chosen at the random lies in shaded region is
Explanation of Solution
Given information:
Calculation:
This given figure consists of equilateral triangle with the side length of
The probability of a point chosen at the random lies in shaded region is equal to the area of the shaded region which divided by the area of given entire figure.
The area of larger shaded triangle is:
Area of triangle:
Put the value in equation (1):
Area of larger shaded triangle
The area of larger shaded triangle is
The area of smaller un-shaded triangle is:
Put the value in equation (1):
Area of smaller un-shaded triangle
The area of smaller un-shaded triangle is
The area of larger triangle is
The probability that the point chosen at the random lies in shaded region dividing that area of shaded region by the area of the given figure.
Chapter 13 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (6th Edition)
Linear Algebra and Its Applications (5th Edition)
Thinking Mathematically (6th Edition)
College Algebra
Thinking Mathematically (7th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning