erighhere erighhere

21-05-2018
Mathematics

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Given: DC is a tangent of E. AE = 20 and DC = 9.

What is the measure of AC?

Given DC is a tangent of E AE 20 and DC 9 What is the measure of AC class=

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SINAZEUS SINAZEUS

21-05-2018

the answer is 41

if AE is 20, so AD is 40.

the measure of angle CDA is 90 degrees.

so we can get help from Pythagorean theorem :
[tex] {x}^{2} = {40}^{2} + {9}^{2} \\ {x}^{2} = 1600 + 81 = 1681 \\ x = \sqrt{1681} = 41[/tex]

good luck

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