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Question

Find the value of BD×DC ,if AD=5 cm.



A
25 cm2
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B
10 cm2
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C
12 cm2
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D
15 cm2
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Solution

The correct option is A 25 cm2

Perpendicular from right angle to hypotenuse divides the triangle into two similar triangles and these are similar to the whole triangle also.

ABCDBA

and ABCDAC

DBADAC

ADCD=DBDA 

BD×DC=AD2

BD×DC=52=25 cm2

Mathematics

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