(a)
To find: The scale of drawing of the surface of the smallest table.
(a)
Answer to Problem 23E
1:24
Explanation of Solution
Given: A set of nested tables. The surface of the tables will be
Each of the two congruent edges of the surface of the smallest table has a length of 24 inches.
First draw smallest triangle.
Let the scale of congruent side be 1:24.
1 unit = 24 in
So, scale drawing would be
(b)
To find:The length of two congruent edges of the surface of the largest triangle.
(b)
Answer to Problem 23E
Explanation of Solution
Given: A set of nested tables. The surface of the tables will be
The ratio of an edge length of the surface of the smallest table to a corresponding edge of the largest table is 1:2.
The length of congruent edges of the surface of the smallest table is 24 in.
The ratio of an edge length of the surface of the smallest table to a corresponding edge of the largest table is 1:2.
Let the length of the surface of the largest table be x in.
So, the ratio is 24: x which is equal to 1:2
Therefore,
(C)
To find: The length of two congruent edges of the surface of the middle sized table.
(C)
Answer to Problem 23E
Explanation of Solution
Given: A set of nested tables. The surface of the tables will be
The ratio of an edge length of the surface of the middle sized table to smallest table is 3:2.
The length of congruent edges of the surface of the smallest table is 24 in.
The ratio of an edge length of the surface of the middle sized table to smallest table is 3:2.
Let the length of edge of the surface of themiddle sized table be x in.
So, the ratio is x :24 which is equal to 3:2
Therefore,
(d)
To find: The length of thirdedge of the surface of the each table.
(d)
Answer to Problem 23E
Smallest table = 34 in
Middle size table = 51 in
Largest table = 68 in
Explanation of Solution
Given: A set of nested tables. The surface of the tables will be
The scale of the each table.
So, the ratio of the congruent sides and third side is
For smallest table, length of third side x,
For middle sized table, length of third side y ,
For largest table, length of third side z ,
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