Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Question
Chapter 5, Problem 10SAP
To determine
To find: length of
Expert Solution & Answer
Answer to Problem 10SAP
Explanation of Solution
Given information:Segment AB is perpendicular to segment CD. Segment AB and segment CD bisect each other at point X. AB = 8 and CD = 10.
Calculation:
Since, AB=8 and CD= 10, so, find BX and XD by dividing each by two.
Since Point X bisects each segment, so
Given that, the two lines are perpendicular, segment BD is the hypotenuse of a right triangle. So, find the length of BD by using the Pythagorean Theorem.
Take the square root of both sides, since we are looking at lengths of a triangle, only consider the positive square root.
Thus,
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Ch. 5.1 - Prob. 1CFUCh. 5.1 - Prob. 2CFUCh. 5.1 - Prob. 3CFUCh. 5.1 - Prob. 4CFUCh. 5.1 - Prob. 5CFUCh. 5.1 - Prob. 6CFUCh. 5.1 - Prob. 7CFUCh. 5.1 - Prob. 8CFUCh. 5.1 - Prob. 9CFUCh. 5.1 - Prob. 10CFU
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