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24-04-2022
Mathematics

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Given circle E with diameter CD and radius EA. AB is tangent to E at A. if AD = 15 and EC = 14, solve for AC.

Given circle E with diameter CD and radius EA AB is tangent to E at A if AD 15 and EC 14 solve for AC class=

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xenia168 xenia168

24-04-2022

Answer:

AC ≈ 23.6 units

Step-by-step explanation:

m∠CAD = 90°

CD = 2×14 = 28 , AD = 15

CD² = AD² + AC² ⇒ AC² = CD² - AD²

AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559

AC ≈ 23.6

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