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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?-example-1

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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 :

{x}^(2) = {40}^(2) + {9}^(2) \\ {x}^(2) = 1600 + 81 = 1681 \\ x = √(1681) = 41



good luck
User Nevenoe
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