(a)
To find: The expression for the perimeter of
(a)
Answer to Problem 15IP
The expression for the perimeter of
Explanation of Solution
Given information:
The given triangles are shown below and
Calculation:
Perimeter is defined as the outside distance of a two-dimensional shape. Let the perimeter of
Write the expression for the perimeter of
Therefore, the expression for the perimeter of
(b)
To find: The expression for the measure of the sides of
(b)
Answer to Problem 15IP
The expression for the measure of the sides of
Explanation of Solution
Given information:
The given triangles are shown below and
Calculation:
Scale factor is defined as the compare of two lengths or sizes. Let
Since,
Write the expression for the sides of
and,
and,
Therefore, the expression for the measure of the sides of
(c)
To find: The expression for the perimeter of
(c)
Answer to Problem 15IP
The expression for the perimeter of
Explanation of Solution
Given information:
The given triangles are shown below and
Calculation:
From part (b), the measure of the sides of
Write the expression for the perimeter of
Therefore, the expression for the perimeter of
(d)
To explain: The meaning of the expression for the perimeter of
(d)
Answer to Problem 15IP
The product of the scale factor with the sum of the sides is equal to the sum of the product of the scale factor with individual sides.
Explanation of Solution
Given information:
The given triangles are shown below and
Calculation:
From part (c), the expression for the perimeter of
Consider the distributive property of factor.
From the above, it is clear that the product of the scale factor with the sum of the sides is equal to the sum of the product of the scale factor with individual sides.
(e)
To find: The perimeter of
(e)
Answer to Problem 15IP
The perimeter of
Explanation of Solution
Given information:
The triangles
Calculation:
From part (c), the expression for the perimeter of
Substitute the values in the above expression.
Therefore, the perimeter of
(f)
To explain: The significance of the scale factor with the perimeter of similar figures.
(f)
Answer to Problem 15IP
The significance of the scale factor with the perimeter of similar figures is given below.
Explanation of Solution
Calculation:
Scale factor is defined as the ratio of two lengths or sizes. The perimeter of the similar figures depends upon the scale factor. If the scale factor is greater than 1, the perimeter of the larger figure is more and vice versa.
Chapter 5 Solutions
Glencoe Math Accelerated, Student Edition
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