1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 10.1, Problem 24E

(a)

To determine

To find: The area of cloth.

(a)

Expert Solution

Answer to Problem 24E

Area of unfolded triangle =54 ft2

Explanation of Solution

Given: The design for a winged box kite uses four triangular pieces of cloth. To cut out one of these pieces, you fold a piece of cloth in half and pin a pattern on the cloth as shown below.

Pre-Algebra, Chapter 10.1, Problem 24E , additional homework tip 1

You cut along AB¯ and BC¯ .The remove the pattern and unfold the cloth.

The dimension of folded triangle, BC=15 in and AC=714 in

The cloth cut along AB¯ and BC¯ . There are total 4 similar triangle formed. Area of each triangle must be same.

Area of unfolded triangle =12×15×294=54.375≈54 in2

(b)

To determine

To find:The length of wooden dowels attach to congruent shorter sides of each of the 4 unfolded triangle.

(b)

Expert Solution

Answer to Problem 24E

29 in

Explanation of Solution

Given: The design for a winged box kite uses four triangular pieces of cloth. To cut out one of these pieces, you fold a piece of cloth in half and pin a pattern on the cloth as shown below.

Pre-Algebra, Chapter 10.1, Problem 24E , additional homework tip 2

You cut along AB¯ and BC¯ .The remove the pattern and unfold the cloth.

In the given triangle, ABC the shorter side length is 714 in .

All four triangles are similar.

So, total length of wooden dowels =714+714+714+714=29 in

The length of wooden dowels are 50 inches long.

We need only 29 inches. So, only 1 piece to buy wooden dowels.

Chapter 10.1, Problem 23E

Chapter 10.1, Problem 25E

Chapter 10 Solutions

Pre-Algebra

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.2 - Prob. 1C Ch. 10.2 - Prob. 2C Ch. 10.2 - Prob. 3C Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - 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