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 9.6, Problem 10E

To determine

Tofind:The unknown length of the triangle.

Expert Solution & Answer

Answer to Problem 10E

x=93

y=18

Explanation of Solution

Given information:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012, Chapter 9.6, Problem 10E

30∘−60∘−90∘ right angled triangle

Length of shorter leg =9

Length of longer leg =x

Length of hypotenuse =y

Concept Used:

In a 45∘−45∘−90∘ right angled triangle, length of both legs are equaland length of hypotenuse is given by product of length of any leg and square root of 2

In a 30∘−60∘−90∘ right angled triangle, length of longer leg is product of shorter length and square root of 3 and length of hypotenuse is given by twice the length of shorter leg.

Calculation:

As this is a 30∘−60∘−90∘ triangle

Length of longer leg is product of shorter length and square root of 3

Therefore

x=93

Length of hypotenuse is twice the length of shorter leg-

Therefore

y=2(9)y=18

Chapter 9.6, Problem 9E

Chapter 9.6, Problem 11E

Chapter 9 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 9.1 - Prob. 1C Ch. 9.1 - Prob. 2C Ch. 9.1 - Prob. 3C Ch. 9.1 - Prob. 4C Ch. 9.1 - Prob. 5C Ch. 9.1 - Prob. 6C Ch. 9.1 - Prob. 7C Ch. 9.1 - Prob. 8C Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E

Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - 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Tofind: The unknown length of the triangle .

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Tofind:The unknown length of the triangle.

Answer to Problem 10E

Explanation of Solution

Chapter 9 Solutions

Additional Math Textbook Solutions