
a.
To sketch:A
a.

Explanation of Solution
Given information:
The base of the triangle is 6 units and height of the triangle is 3 units.
Sketch:
Interpretation:
ABC is a triangle with base 6 units and height 3 units.
b.
To fill:Area of triangles in the table,
b.

Answer to Problem 34PPS
Triangle | Base (in.) | Height (in.) | Area (in2) |
1 | 6 | 3 | 9 |
2 | 12 | 6 | 36 |
3 | 18 | 9 | 81 |
Explanation of Solution
Given information:
The table with base and height of triangles,
Triangle | Base (in.) | Height (in.) | Area (in2) |
1 | 6 | 3 | |
2 | 12 | 6 | |
3 | 18 | 9 |
Formula used: Area of a triangle is given by the formula,
Where
Calculation:
Area of a triangle with base 6 in. and height 3 in. is given by,
Area of a triangle with base 12 in. and height 6 in. is given by,
Area of a triangle with base 18 in. and height 9 in. is given by,
Thus, the table becomes,
Triangle | Base (in.) | Height (in.) | Area (in2) |
1 | 6 | 3 | 9 |
2 | 12 | 6 | 36 |
3 | 18 | 9 | 81 |
c.
To explain:The effect on the area of a triangle if the dimensions are doubled and if the dimensions are tripled.
c.

Answer to Problem 34PPS
If the dimensions are doubled the area of the triangle becomes 4 times the original area and if the dimensions are tripled the area of the triangle becomes 9 times the original area.
Explanation of Solution
Let the base of a triangle be b and the height be h .
Then, area of the triangle is given by,
Case 1:The dimensions of the triangle are doubled.
Then the base becomes 2b and the height becomes 2h .
Then the area of the new triangle
Thus, the area of the triangle is 4 times the original area of the triangle when the dimensions are doubled.
Case 2: The dimensions of the triangle are tripled.
Then the base becomes 3b and the height becomes 3h .
Then the area of the new triangle
Thus, the area of the triangle is 9 times the original area of the triangle when the dimensions are tripled.
Conclusion:
If the dimensions are doubled the area of the triangle becomes 4 times the original area and if the dimensions are tripled the area of the triangle becomes 9 times the original area.
Chapter 11 Solutions
Pre-Algebra, Student Edition
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