Answer The length of E F ¯ is 9.6 Explanation Given: Length of both the sides of one triangle and length of only one side in a triangle similarto the first one. Concept Used: If two triangles are similar, then the ratios of their corresponding sides are in proportion. In a proportion, the cross products must be equal. The ratios of the corresponding sides are 8 5 and E F ¯ 6 . Since the ratios are in proportion, their cross products 8 × 6 and E F ¯ × 5 are equal. ⇒ 8 × 6 = E F ¯ × 5 Divide the equation by 5 to get E F ¯ = 8 × 6 5 = 48 5 = 9 . 6

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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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 7, Problem 23CP

To determine

To Find: The unknown side of a rectangle, which is similar to another rectangle with both known sides.

Expert Solution & Answer

Answer to Problem 23CP

The length of EF¯ is 9.6

Explanation of Solution

Given: Length of both the sides of one triangle and length of only one side in a triangle similarto the first one.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012, Chapter 7, Problem 23CP

Concept Used:

If two triangles are similar, then the ratios of their corresponding sides are in proportion.
In a proportion, the cross products must be equal.

The ratios of the corresponding sides are 85 and EF¯6 .

Since the ratios are in proportion, their cross products 8×6 and EF¯×5 are equal.

⇒8×6=EF¯×5

Divide the equation by 5 to get

EF¯=8×65=485=9.6

Chapter 7, Problem 22CP

Chapter 7, Problem 24CP

Chapter 7 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 7.1 - Prob. 1C Ch. 7.1 - Prob. 2C Ch. 7.1 - Prob. 3C Ch. 7.1 - Prob. 4C Ch. 7.1 - Prob. 5C Ch. 7.1 - Prob. 6C Ch. 7.1 - Prob. 7C Ch. 7.1 - Prob. 8C Ch. 7.1 - Prob. 9C Ch. 7.1 - Prob. 1E

Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - 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Prob. 12MCQ Ch. 7 - Prob. 13MCQ Ch. 7 - Prob. 14MCQ Ch. 7 - Prob. 15MCQ Ch. 7 - Prob. 16MCQ Ch. 7 - Prob. 17MCQ Ch. 7 - Prob. 18MCQ Ch. 7 - Prob. 19MCQ Ch. 7 - Prob. 20MCQ Ch. 7 - Prob. 21MCQ Ch. 7 - Prob. 22MCQ Ch. 7 - Prob. 1CR Ch. 7 - Prob. 2CR Ch. 7 - Prob. 3CR Ch. 7 - Prob. 4CR Ch. 7 - Prob. 5CR Ch. 7 - Prob. 6CR Ch. 7 - Prob. 7CR Ch. 7 - Prob. 8CR Ch. 7 - Prob. 9CR Ch. 7 - Prob. 10CR Ch. 7 - Prob. 11CR Ch. 7 - Prob. 12CR Ch. 7 - Prob. 13CR Ch. 7 - Prob. 14CR Ch. 7 - Prob. 15CR Ch. 7 - Prob. 16CR Ch. 7 - Prob. 17CR Ch. 7 - Prob. 18CR Ch. 7 - Prob. 19CR Ch. 7 - Prob. 20CR Ch. 7 - Prob. 21CR Ch. 7 - Prob. 22CR Ch. 7 - Prob. 23CR Ch. 7 - Prob. 24CR Ch. 7 - Prob. 25CR Ch. 7 - Prob. 26CR Ch. 7 - Prob. 27CR Ch. 7 - Prob. 28CR Ch. 7 - Prob. 29CR Ch. 7 - Prob. 30CR Ch. 7 - Prob. 31CR Ch. 7 - Prob. 32CR Ch. 7 - Prob. 33CR Ch. 7 - Prob. 34CR Ch. 7 - Prob. 35CR Ch. 7 - Prob. 36CR Ch. 7 - Prob. 37CR Ch. 7 - Prob. 38CR Ch. 7 - Prob. 39CR Ch. 7 - Prob. 40CR Ch. 7 - Prob. 41CR Ch. 7 - Prob. 42CR Ch. 7 - 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