a.
To calculate: Thelength of a side
a.
Answer to Problem 14PSB
The length of a side
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Diagonal
Formula used:
Base diagonal of a square are
Calculation:
It is given that Diagonal
If base diagonals of a square are
b.
To find: The altitude of the pyramid.
b.
Answer to Problem 14PSB
The altitude of the pyramid is 8.
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Diagonal
Formula used:The below theorem is used:
Pythagoras theorem states that “In a right angled
In right
Calculation:
As PY is drawn perpendicular on YD , YD is half of any of the side of a square.
Side PY can be calculated by applying Pythagoras Theorem.
In right angle triangle PYR , we get
c.
To calculate: The length of side
c.
Answer to Problem 14PSB
The length of side
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Diagonal
Formula used:
A side is perpendicular bisector to other side, then the side is divided into two equal parts.
Calculation:
d.
To find: The length of a sidePD .
d.
Answer to Problem 14PSB
The length of a sidePD is
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Diagonal
Formula used:The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
In right angle triangle,
Calculation:
Side PD can be calculated by applying Pythagoras Theorem.
In right angle triangle PDR , we get
Chapter 9 Solutions
Geometry For Enjoyment And Challenge
Additional Math Textbook Solutions
Fundamentals of Statistics (5th Edition)
Linear Algebra with Applications (2-Download)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Introductory Statistics (10th Edition)
Calculus: Early Transcendentals (3rd 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