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Step-by-step explanation:
ABC right angle triangle is drawn in such a way that ∠ABC = 90° . D is the point on side AC where BD ⊥ AC . Also D divides the side length AC in two parts AD and DC of lengths 9cm and 4 cm respectively.
Now, from ∆ABD and ∆BDC
∠ADB = ∠BDC = 90°
∠BAD = ∠DBC [ see figure , if we assume ∠DBC = x° then, DBA = 90 - x° then from ∆ABD , ∠BAD = x° ]
from A - A similarity rule ,
∆DAB ~ ∆DBC
so, BD/DC = AD/BD
⇒BD² = DC × AD = 4cm × 9 cm
taking square root both sides,
BD = 6 cm
Hence , altitude = 6cm
so your answer is option C]
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Answer:
6 cm hope help you make me brainleast !!!!
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