Question

hi friends plz solve this question..

Answer 1

Answer:

Option(A)

Step-by-step explanation:

From figure:

In ΔBDO and ΔBEA,

∠DBO = ∠EBA

BD/DE = BO/BA

ΔBDO ~ ΔBEA    ---- (i)

AE = 2DO = 2(8 cm)  = 16 cm.

BD = √BO² - DO²

     = √13² - 8²

     = √169 - 64

     = √105 cm.

DE = BD = √105 cm

∠AED = ∠ODB = 90° {From (i)}

In ΔDAE,

AD = √AE² + DE²

     = √16² + 105

     = √256 + 105

     = √361

     = 19 cm.

Therefore, Length of AD is 19 cm.

Hope it helps!