a.
To calculate: The lateral area of a right triangular prism with dimensions as l is 11, a is 17, b is 17 and c is 16.
a.
Answer to Problem 3PSA
The lateral area of a right triangular prism is
Explanation of Solution
Given information:
l =11, a = 17, b = 17 and c =16.
Formula used:
Area of rectangle:
l = length of rectangle
w= width of rectangle
Calculation:
Lateral Area:
b.
To find: The area of one base in a right triangular prism.
b.
Answer to Problem 3PSA
The area of one base in a right triangular prism is
Explanation of Solution
Given information:
l =11, a = 17, b = 17 and c =16.
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled
In right
Area of triangle:
b = base of triangle
h = height of triangle
Calculation:
Draw an altitude AD.
In right angled triangle ADE , we get
A right triangle formed is
Area of one base:
c.
To find: The total area of a right triangular prism.
c.
Answer to Problem 3PSA
The total area of a right triangular prism is
Explanation of Solution
Given information:
l =11, a = 17, b = 17 and c =16.
Formula used:
Area of rectangle:
l = length of rectangle
w= width of rectangle
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,
Area of triangle:
b = base of triangle
h = height of triangle
Calculation:
Lateral Area:
Draw an altitude AD.
In right angled triangle ADE , we get
A right triangle formed is
Area of one base:
Total Area = Lateral Area + 2 (Area of Base)
Total Area
Total Area
Total Area
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- 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