In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. bc=9 and hc=3, find ah.

AH = 24 unit

Step-by-step explanation:

Since, in triangles ABC and BHC,

    ( Right angles)

    ( Reflexive )

Hence, By AA similarity postulate,

By the property of similar triangle,

Here,  BC = 9 unit  and HC = 3 unit,

Since, by the below diagram,

AH = AC - HC

AH = 27 - 3

AH = 24 unit

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents