Question

In ∆ABC, ∠A = 90° AD ⊥ BC BD = 5cm DC = 7.2cm then find AD.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given : triangle ABC angle a=90°

AD perpendicular BC

BD=5cm DC=7.2cm

To find  :  AD​

Solution:

ΔADB  and ΔCDA

∠DBA  =  ∠DAC    ( ∵ each  90° - ∠C)

∠ADB  = ∠CDA  =  90°

=> ΔADB ≈ ΔCDA  ( AA)

AD/CD   = BD/AD

=> AD² = BD * CD

=> AD²  = 5 * 7.2

=> AD² = 36

=> AD   = 6  

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