Explanation Given information: The provided figure is: The base of a triangle is 4 in less than twice the height and the area of triangle is 35 in 2 . Formula used: Area of triangle is: Area = 1 2 × base×height By the addition principle, for any real numbers a, b and c, with c ≠ 0 a = b is equivalent to a + c = b + c By the multiplication principle, for any real numbers a, b and c, with c ≠ 0 a = b is equivalent to a ⋅ c = b ⋅ c Calculation: The base of a triangle is 4 in less than twice the height and the area of triangle is 35 in 2 . Consider the height of the triangle be represented by the letter h . Since the base of a triangle is 4 in less than twice the height, then base is: 2 h − 4 The Area of triangle is as below: Area = 1 2 × base×height Substitute the values of height and base as below: Area = 1 2 × base×height = 1 2 × ( 2 h − 4 ) × h Further simplify as below: 1 2 × ( 2 h − 4 ) × h = 2 ( h − 2 ) h 2 = h ( h − 2 ) The area of the triangle is 35 in 2 , equate it with the found area and solve for the value of h as below:

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ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12.2, Problem 38ES

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To calculate: The height and the base of the triangle if base is 4 in less than twice the height. The area of triangle is 35 in2.

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Chapter 12.2, Problem 37ES

Chapter 12.2, Problem 39ES

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Chapter 12 Solutions

Developmental Mathematics (9th Edition)

Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The height and the base of the triangle if base is 4 in less than twice the height. The area of triangle is 35 in 2 .

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