Question

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2) Altitude to the hypotenuse of a right angled triangle divides it in two parts of
lengths 4cm and 9cm, the length of altitude is
a) 9 cm
b) 4 cm
c) 6 cm
d) 2√6cm​

Answer 1

Answer:

Option 'C'

Explanation:

As show in above pic triangle ABC and perpendicular from B TO AB point D

AD=9CM

DC=4CM

TRIANGLE DAB ~ TRIANGLE DBC

SO, BD/DC=AD/BD

BD^2=DC×AD=4CM×9CM

BD^2=36

BD=6