Question

Q.6) In ABC, mzABC = 90° and seg
BD I side AC. AD = 18 and DC = 8
then, find the values of BD and AB.
(Match the pair.)/AABC मध्ये, mZABC
= 90° व रेख BD | बाजू AC.AD = 18 आणि
DC = 8 तर BD आणि AB च्या किंमती काढा.
(जोड्या जुळवा.)
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Answer 1

Answer:

Given, BD = 8 cm, AD = 4 cm, ∠ABC = 90° and BD⊥AC.

we know that ,If a perpendicular is drawn from the vertex containing a right angle of a right triangle to the hypotenuse then the triangle on each side of the perpendicular are similar to each other and to the whole triangle.

So, ΔDBA∼ΔDCB (A-A similarity)

BD/CD = AD/BD

[Since, triangles are similar, hence corresponding sides will be proportional]

BD² = AD x DC

(8)² = 4 x DC

64 = 4DC

DC = 64/4

DC = 16

Hence, the length of CD is 16 cm..

HOPE THIS ANSWER WILL HELP YOU...