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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In ABCD, AD=5 and DC=9. If the altitude from vertex D to A B ¯ has length 4(that is, DE=4), find the length of E B ¯ . _ .

Chapter 4.CT, Problem 3CT, In ABCD, AD=5 and DC=9. If the altitude from vertex D to AB has length 4that is, DE=4, find the

To determine

To Find:

Length of EB.

Explanation

Given:

Given parallelogram is ABCD,

AD = 5 and DC = 9.

Calculation:

From the figure,

DE¯AE¯, and DEA is a right angle triangle and hence ΔDEA is right triangle with a hypotenuse DA¯.

From the Pythagorean Theorem,

DA2=DE2+AE2

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