To calculate: To find the width of the thickest box that will fit in a mailbox.
The width of the thickest box is
Given information:The dimension for the thickest box is given is determined by using Pythagorean Theorem.
Calculation:
Consider the right angle
By using Pythagorean Theorem,
Consider the right angle triangle CDE where CE is the hypotenuse side.
Substitute the value of
Substituting in the above equation to get,
The triangles ABC and CDE are similar, then
Let take the two equations,
Adding the above equations to get,
Substituting the value of
The values of
The length of the triangle is
Substitute
Then,
Formula to find the width of the box is,
Therefore, the width of the box is
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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