To determine The sides of the truss. Explanation Given: The shape of the roof truss is right triangle and the perimeter of triangle is 90 ft. The hypotenuse is 1 ft longer than one of the other sides. Definition used: General quadratic equation : “Given that a , b , and c are constant ( a ≠ 0 ) , the equation a x 2 + b x + c = 0 is called the general quadratic equation in x ”. Calculation: Let x be the other side of the triangle and y be the another side of the triangle. From the given information, the hypotenuse is 1 + x . It is given that the perimeter of the rectangle is x + y + 1 + x = 90 . This implies y = 89 − 2 x . Draw the diagram by using given information. From Figure 1, it is observed that the triangle is right triangle and by using Pythagorean theorem x 2 + y 2 = ( 1 + x ) 2 . Substitute y = 89 − 2 x in above equation. x 2 + ( 89 − 2 x ) 2 = ( 1 + x ) 2 x 2 + 7921 − 356 x + 4 x 2 = 1 + 2 x + x 2 4 x 2 − 358 x + 7920 = 0 x 2 − 89

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 14.3, Problem 42E

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The sides of the truss.

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Chapter 14.3, Problem 41E

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Chapter 14 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

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