Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole

Chapter 5 - Section 5.5 - Special Right Triangles - Exercises - Page 249: 38

11.7

Work Step by Step

We call that altitude of the pentagon DM. Thus, we know that DM makes a right triangle with DB as the hypotenuse. However, we first find the height of DM: $DM = 8 + \sqrt{5^2 - 4^2 } = 8+3 = 11$ Thus, we use the Pythagorean theorem: $DB = \sqrt{11^2 + 4^2} = 11.7$

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