Nature of Mathematics (MindTap Course List)
13th Edition
ISBN: 9781133947257
Author: karl J. smith
Publisher: Cengage Learning
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Chapter 2.3, Problem 47PS
To determine
To check:
Whether the statement
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Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem.
"We can use the Angle-Angle Triangle Similarity Theorem to show that all 3 triangles are similar. Because the triangles are similar,
corresponding side lengths are in the same proportion.
Because the largest triangle is similar to the smaller triangle, =.
a
Because the largest triangle is similar to the middle triangle, =.
We can rewrite these equations as a? = cd and b2 = ce.
We can add the 2 equations to get that a2 + b2 = cd + ce or a? + b2 = c(d + e). From the original diagram we can see that d + e = c, so
a² + b2 = c(c) or a2 + b2 = c²."
Complete Lyndsey's proof by filling in the missing information.
• Math symbols
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• Groups
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> Statistics
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立
If 3 and 4 are the legs of a right triangle, the hypotenuse
The number of different possible routes that Tyler can travel from Point A to Point B
if he travels only north or west is
Chapter 2 Solutions
Nature of Mathematics (MindTap Course List)
Ch. 2.1 - Prob. 1PSCh. 2.1 - IN YOUR OWN WORDS Distinguish between equal and...Ch. 2.1 - Prob. 3PSCh. 2.1 - Prob. 4PSCh. 2.1 - Tell whether each set in Problems 5-8 is well...Ch. 2.1 - Prob. 6PSCh. 2.1 - Tell whether each set in Problems 5-8 is well...Ch. 2.1 - Tell whether each set in Problems 5-8 is well...Ch. 2.1 - Specify the sets in Problems 9-14 by roster. a....Ch. 2.1 - Specify the sets in Problems 9-14 by roster. a....
Ch. 2.1 - Prob. 11PSCh. 2.1 - Prob. 12PSCh. 2.1 - Specify the sets in Problems 9-14 by roster. a....Ch. 2.1 - Specify the sets in Problems 9-14 by roster. a....Ch. 2.1 - Prob. 15PSCh. 2.1 - Prob. 16PSCh. 2.1 - Prob. 17PSCh. 2.1 - Prob. 18PSCh. 2.1 - Prob. 19PSCh. 2.1 - Prob. 20PSCh. 2.1 - Prob. 21PSCh. 2.1 - Prob. 22PSCh. 2.1 - Prob. 23PSCh. 2.1 - Prob. 24PSCh. 2.1 - Prob. 25PSCh. 2.1 - Prob. 26PSCh. 2.1 - Prob. 27PSCh. 2.1 - Prob. 28PSCh. 2.1 - Prob. 29PSCh. 2.1 - Prob. 30PSCh. 2.1 - Prob. 31PSCh. 2.1 - Prob. 32PSCh. 2.1 - Prob. 33PSCh. 2.1 - Prob. 34PSCh. 2.1 - Prob. 35PSCh. 2.1 - Prob. 36PSCh. 2.1 - Prob. 37PSCh. 2.1 - Prob. 38PSCh. 2.1 - Prob. 39PSCh. 2.1 - Prob. 40PSCh. 2.1 - Prob. 41PSCh. 2.1 - Prob. 42PSCh. 2.1 - Prob. 43PSCh. 2.1 - Prob. 44PSCh. 2.1 - Prob. 45PSCh. 2.1 - Prob. 46PSCh. 2.1 - Prob. 47PSCh. 2.1 - Prob. 48PSCh. 2.1 - Prob. 49PSCh. 2.1 - Decide whether each statement in Problems 46-54 is...Ch. 2.1 - Prob. 51PSCh. 2.1 - Prob. 52PSCh. 2.1 - Prob. 53PSCh. 2.1 - Prob. 54PSCh. 2.1 - Prob. 55PSCh. 2.1 - Prob. 56PSCh. 2.1 - Prob. 57PSCh. 2.1 - Five people plan to meet after school, and if they...Ch. 2.1 - Prob. 59PSCh. 2.1 - Prob. 60PSCh. 2.2 - Prob. 1PSCh. 2.2 - Prob. 2PSCh. 2.2 - Prob. 3PSCh. 2.2 - Prob. 4PSCh. 2.2 - Prob. 5PSCh. 2.2 - Prob. 6PSCh. 2.2 - Prob. 7PSCh. 2.2 - Prob. 8PSCh. 2.2 - Prob. 9PSCh. 2.2 - Prob. 10PSCh. 2.2 - Prob. 11PSCh. 2.2 - Prob. 12PSCh. 2.2 - Prob. 13PSCh. 2.2 - Prob. 14PSCh. 2.2 - Prob. 15PSCh. 2.2 - Prob. 16PSCh. 2.2 - Prob. 17PSCh. 2.2 - Prob. 18PSCh. 2.2 - Prob. 19PSCh. 2.2 - Prob. 20PSCh. 2.2 - Prob. 21PSCh. 2.2 - Prob. 22PSCh. 2.2 - Prob. 23PSCh. 2.2 - Prob. 24PSCh. 2.2 - Prob. 25PSCh. 2.2 - Prob. 26PSCh. 2.2 - Prob. 27PSCh. 2.2 - Prob. 28PSCh. 2.2 - Prob. 29PSCh. 2.2 - Prob. 30PSCh. 2.2 - Prob. 31PSCh. 2.2 - Prob. 32PSCh. 2.2 - Prob. 33PSCh. 2.2 - Prob. 34PSCh. 2.2 - Prob. 35PSCh. 2.2 - Prob. 36PSCh. 2.2 - Prob. 37PSCh. 2.2 - Prob. 38PSCh. 2.2 - Prob. 39PSCh. 2.2 - Prob. 40PSCh. 2.2 - Prob. 41PSCh. 2.2 - Prob. 42PSCh. 2.2 - Prob. 43PSCh. 2.2 - Prob. 44PSCh. 2.2 - Prob. 45PSCh. 2.2 - Prob. 46PSCh. 2.2 - Prob. 47PSCh. 2.2 - Prob. 48PSCh. 2.2 - Draw Venn diagrams for each of the relationships...Ch. 2.2 - Prob. 50PSCh. 2.2 - Draw Venn diagrams for each of the relationships...Ch. 2.2 - Prob. 52PSCh. 2.2 - Prob. 53PSCh. 2.2 - Level 2 From a survey of 100 college students, a...Ch. 2.2 - Level 2 In a survey of a TriDelt chapter with 50...Ch. 2.2 - Prob. 56PSCh. 2.2 - Prob. 57PSCh. 2.2 - Santa Rosa Junior College enrolled 29,000 students...Ch. 2.2 - Prob. 59PSCh. 2.2 - Prob. 60PSCh. 2.3 - What do we mean by De Morgans laws?Ch. 2.3 - Prob. 2PSCh. 2.3 - Prob. 3PSCh. 2.3 - Prob. 4PSCh. 2.3 - Prob. 5PSCh. 2.3 - Prob. 6PSCh. 2.3 - Prob. 7PSCh. 2.3 - Prob. 8PSCh. 2.3 - Prob. 9PSCh. 2.3 - Prob. 10PSCh. 2.3 - Prob. 11PSCh. 2.3 - Prob. 12PSCh. 2.3 - Prob. 13PSCh. 2.3 - Prob. 14PSCh. 2.3 - Prob. 15PSCh. 2.3 - Prob. 16PSCh. 2.3 - Prob. 17PSCh. 2.3 - Prob. 18PSCh. 2.3 - Prob. 19PSCh. 2.3 - Prob. 20PSCh. 2.3 - Prob. 21PSCh. 2.3 - Prob. 22PSCh. 2.3 - Prob. 23PSCh. 2.3 - Prob. 24PSCh. 2.3 - Prob. 25PSCh. 2.3 - Prob. 26PSCh. 2.3 - Prob. 27PSCh. 2.3 - Prob. 28PSCh. 2.3 - Prob. 29PSCh. 2.3 - Prob. 30PSCh. 2.3 - Prob. 31PSCh. 2.3 - Prob. 32PSCh. 2.3 - Prob. 33PSCh. 2.3 - Prob. 34PSCh. 2.3 - Prob. 35PSCh. 2.3 - Draw a Venn diagram showing the relationship among...Ch. 2.3 - Prob. 37PSCh. 2.3 - Prob. 38PSCh. 2.3 - In Problems 3944, use set notation to identify the...Ch. 2.3 - In Problems 3944, use set notation to identify the...Ch. 2.3 - In Problems 3944, use set notation to identify the...Ch. 2.3 - Prob. 42PSCh. 2.3 - Prob. 43PSCh. 2.3 - Prob. 44PSCh. 2.3 - Prob. 45PSCh. 2.3 - Prob. 46PSCh. 2.3 - Prob. 47PSCh. 2.3 - Prob. 48PSCh. 2.3 - Prob. 49PSCh. 2.3 - Prob. 50PSCh. 2.3 - In a recent survey of 100 persons, the following...Ch. 2.3 - Matt E. Matic was applying for a job. To determine...Ch. 2.3 - A poll was taken of 100 students at a commuter...Ch. 2.3 - Prob. 54PSCh. 2.3 - Prob. 55PSCh. 2.3 - Prob. 56PSCh. 2.3 - The Venn diagram in Figure 2.17 shows five sets....Ch. 2.3 - Prob. 58PSCh. 2.3 - Prob. 59PSCh. 2.3 - Human blood is typed Rh + positive blood of Rh ...Ch. 2.4 - IN YOUR OWN WORDS Why do you think the fundamental...Ch. 2.4 - Prob. 2PSCh. 2.4 - Prob. 3PSCh. 2.4 - Prob. 4PSCh. 2.4 - Prob. 5PSCh. 2.4 - Prob. 6PSCh. 2.4 - Prob. 7PSCh. 2.4 - Prob. 8PSCh. 2.4 - Prob. 9PSCh. 2.4 - Prob. 10PSCh. 2.4 - Prob. 11PSCh. 2.4 - Prob. 12PSCh. 2.4 - Prob. 13PSCh. 2.4 - Prob. 14PSCh. 2.4 - Prob. 15PSCh. 2.4 - Prob. 16PSCh. 2.4 - Prob. 17PSCh. 2.4 - Prob. 18PSCh. 2.4 - Prob. 19PSCh. 2.4 - Prob. 20PSCh. 2.4 - Prob. 21PSCh. 2.4 - Prob. 22PSCh. 2.4 - Prob. 23PSCh. 2.4 - Prob. 24PSCh. 2.4 - Prob. 25PSCh. 2.4 - Prob. 26PSCh. 2.4 - Prob. 27PSCh. 2.4 - Prob. 28PSCh. 2.4 - Prob. 29PSCh. 2.4 - Show that the following sets have the same...Ch. 2.4 - Prob. 31PSCh. 2.4 - Prob. 32PSCh. 2.4 - Prob. 33PSCh. 2.4 - Prob. 34PSCh. 2.4 - Prob. 35PSCh. 2.4 - Prob. 36PSCh. 2.4 - Prob. 37PSCh. 2.4 - Prob. 38PSCh. 2.4 - Prob. 39PSCh. 2.4 - Prob. 40PSCh. 2.4 - Prob. 41PSCh. 2.4 - Prob. 42PSCh. 2.4 - Prob. 43PSCh. 2.4 - Prob. 44PSCh. 2.4 - Prob. 45PSCh. 2.4 - Prob. 46PSCh. 2.4 - Prob. 47PSCh. 2.4 - Prob. 48PSCh. 2.4 - Prob. 49PSCh. 2.4 - Prob. 50PSCh. 2.4 - Prob. 51PSCh. 2.4 - Prob. 52PSCh. 2.4 - Prob. 53PSCh. 2.4 - Prob. 54PSCh. 2.4 - Prob. 55PSCh. 2.4 - Prob. 56PSCh. 2.4 - Prob. 57PSCh. 2.4 - Prob. 58PSCh. 2.4 - Prob. 59PSCh. 2.4 - Prob. 60PSCh. 2.CR - Prob. 1CRCh. 2.CR - Prob. 2CRCh. 2.CR - Prob. 3CRCh. 2.CR - Prob. 4CRCh. 2.CR - Prob. 5CRCh. 2.CR - Prob. 6CRCh. 2.CR - Prob. 7CRCh. 2.CR - Prob. 8CRCh. 2.CR - Prob. 9CRCh. 2.CR - Prob. 10CRCh. 2.CR - Prob. 11CRCh. 2.CR - Prob. 12CRCh. 2.CR - Prob. 13CRCh. 2.CR - Prob. 14CRCh. 2.CR - Prob. 15CRCh. 2.CR - Prob. 16CRCh. 2.CR - Prob. 17CRCh. 2.CR - Human blood is typed Rh+ positive blood or Rh...Ch. 2.CR - Prob. 19CRCh. 2.CR - Prob. 20CR
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