(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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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 1.6, Problem 18P

To determine

To translate each problem into an equation. Draw a sketch for the given shape to get help from to get the lengths of sides of a triangle.

Expert Solution & Answer

Answer to Problem 18P

Required equation: x+x+15=50 .

The length of each of two equal sides of an isosceles triangle is 17.5cm.

Explanation of Solution

Given information:

Triangle has two equal sides and the third side is 15cm.

Perimeter of the triangle is 50 cm.

Calculation:

Algebra: Structure And Method, Book 1, Chapter 1.6, Problem 18P

Let the two of the equal sides = x cm.

Third side = 15 cm.

Perimeter of triangle = side1+side2+side3.

Substituting values of side1, side2 and side 3 in above formula, we get

x+x+15=50

Now, we need to solve it for x

Combine like terms

2x+15=50

Subtract 15 on sides

2x+15−15=50−15

⇒2x=50−15

⇒2x=35

Divide both sides by 2

⇒2x2=352

⇒x=17.5

Therefore, the length of each of two equal sides of an isosceles triangle is 17.5cm.

Chapter 1.6, Problem 17P

Chapter 1.6, Problem 19P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

Ch. 1.1 - Prob. 1OE Ch. 1.1 - Prob. 2OE Ch. 1.1 - Prob. 3OE Ch. 1.1 - Prob. 4OE Ch. 1.1 - Prob. 5OE Ch. 1.1 - Prob. 6OE Ch. 1.1 - Prob. 7OE Ch. 1.1 - Prob. 8OE Ch. 1.1 - Prob. 9OE Ch. 1.1 - Prob. 10OE

Ch. 1.1 - Prob. 11OE Ch. 1.1 - Prob. 12OE Ch. 1.1 - Prob. 13OE Ch. 1.1 - Prob. 14OE Ch. 1.1 - Prob. 15OE Ch. 1.1 - Prob. 16OE Ch. 1.1 - Prob. 17OE Ch. 1.1 - Prob. 18OE Ch. 1.1 - Prob. 19OE Ch. 1.1 - Prob. 20OE Ch. 1.1 - Prob. 21OE Ch. 1.1 - Prob. 22OE Ch. 1.1 - Prob. 23OE Ch. 1.1 - Prob. 24OE Ch. 1.1 - Prob. 25OE Ch. 1.1 - Prob. 26OE Ch. 1.1 - Prob. 1WE Ch. 1.1 - Prob. 2WE Ch. 1.1 - Prob. 3WE Ch. 1.1 - Prob. 4WE Ch. 1.1 - Prob. 5WE Ch. 1.1 - Prob. 6WE Ch. 1.1 - Prob. 7WE Ch. 1.1 - Prob. 8WE Ch. 1.1 - Prob. 9WE Ch. 1.1 - Prob. 10WE Ch. 1.1 - Prob. 11WE Ch. 1.1 - Prob. 12WE Ch. 1.1 - Prob. 13WE Ch. 1.1 - Prob. 14WE Ch. 1.1 - Prob. 15WE Ch. 1.1 - Prob. 16WE Ch. 1.1 - Prob. 17WE Ch. 1.1 - Prob. 18WE Ch. 1.1 - Prob. 19WE Ch. 1.1 - Prob. 20WE Ch. 1.1 - Prob. 21WE Ch. 1.1 - Prob. 22WE Ch. 1.1 - Prob. 23WE Ch. 1.1 - Prob. 24WE Ch. 1.1 - Prob. 25WE Ch. 1.1 - Prob. 26WE Ch. 1.1 - Prob. 27WE Ch. 1.1 - Prob. 28WE Ch. 1.1 - Prob. 29WE Ch. 1.1 - Prob. 30WE Ch. 1.1 - Prob. 31WE Ch. 1.1 - Prob. 32WE Ch. 1.1 - 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Prob. 5WE Ch. 1.5 - Prob. 6WE Ch. 1.5 - Prob. 7WE Ch. 1.5 - Prob. 8WE Ch. 1.5 - Prob. 9WE Ch. 1.5 - Prob. 10WE Ch. 1.5 - Prob. 11WE Ch. 1.5 - Prob. 12WE Ch. 1.5 - Prob. 13WE Ch. 1.5 - Prob. 14WE Ch. 1.5 - Prob. 15WE Ch. 1.5 - Prob. 16WE Ch. 1.5 - Prob. 17WE Ch. 1.5 - Prob. 18WE Ch. 1.5 - Prob. 19WE Ch. 1.5 - Prob. 20WE Ch. 1.5 - Prob. 21WE Ch. 1.5 - Prob. 22WE Ch. 1.5 - Prob. 23WE Ch. 1.5 - Prob. 24WE Ch. 1.5 - Prob. 25WE Ch. 1.5 - Prob. 26WE Ch. 1.5 - Prob. 27WE Ch. 1.5 - Prob. 28WE Ch. 1.5 - Prob. 29WE Ch. 1.5 - Prob. 30WE Ch. 1.5 - Prob. 31WE Ch. 1.5 - Prob. 32WE Ch. 1.5 - Prob. 33WE Ch. 1.5 - Prob. 34WE Ch. 1.5 - Prob. 35WE Ch. 1.5 - Prob. 36WE Ch. 1.5 - Prob. 1MRE Ch. 1.5 - Prob. 2MRE Ch. 1.5 - Prob. 3MRE Ch. 1.5 - Prob. 4MRE Ch. 1.5 - Prob. 5MRE Ch. 1.5 - Prob. 6MRE Ch. 1.5 - Prob. 7MRE Ch. 1.5 - Prob. 8MRE Ch. 1.5 - Prob. 9MRE Ch. 1.5 - Prob. 10MRE Ch. 1.5 - Prob. 11MRE Ch. 1.5 - Prob. 12MRE Ch. 1.6 - Prob. 1P Ch. 1.6 - Prob. 2P Ch. 1.6 - Prob. 3P Ch. 1.6 - Prob. 4P Ch. 1.6 - Prob. 5P Ch. 1.6 - Prob. 6P Ch. 1.6 - Prob. 7P Ch. 1.6 - Prob. 8P Ch. 1.6 - Prob. 9P Ch. 1.6 - Prob. 10P Ch. 1.6 - Prob. 11P Ch. 1.6 - Prob. 12P Ch. 1.6 - Prob. 13P Ch. 1.6 - Prob. 14P Ch. 1.6 - Prob. 15P Ch. 1.6 - Prob. 16P Ch. 1.6 - Prob. 17P Ch. 1.6 - Prob. 18P Ch. 1.6 - Prob. 19P Ch. 1.6 - Prob. 20P Ch. 1.6 - Prob. 21P Ch. 1.6 - Prob. 22P Ch. 1.6 - Prob. 1MRE Ch. 1.6 - Prob. 2MRE Ch. 1.6 - Prob. 3MRE Ch. 1.6 - Prob. 4MRE Ch. 1.6 - Prob. 5MRE Ch. 1.6 - Prob. 6MRE Ch. 1.6 - Prob. 7MRE Ch. 1.6 - Prob. 8MRE Ch. 1.6 - Prob. 9MRE Ch. 1.6 - Prob. 10MRE Ch. 1.6 - Prob. 11MRE Ch. 1.6 - Prob. 12MRE Ch. 1.6 - Prob. 1E Ch. 1.6 - Prob. 2E Ch. 1.6 - Prob. 3E Ch. 1.7 - Prob. 1P Ch. 1.7 - Prob. 2P Ch. 1.7 - Prob. 3P Ch. 1.7 - Prob. 4P Ch. 1.7 - Prob. 5P Ch. 1.7 - Prob. 6P Ch. 1.7 - Prob. 7P Ch. 1.7 - Prob. 8P Ch. 1.7 - Prob. 9P Ch. 1.7 - Prob. 10P Ch. 1.7 - Prob. 11P Ch. 1.7 - Prob. 12P Ch. 1.7 - Prob. 13P Ch. 1.7 - Prob. 14P Ch. 1.7 - Prob. 15P Ch. 1.7 - Prob. 16P Ch. 1.7 - Prob. 17P Ch. 1.7 - Prob. 18P Ch. 1.7 - Prob. 1MRE Ch. 1.7 - 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