Question

02. In the given figure ABCD is a squar with side 24cm. if the length of MD is 31cm, find the lenght of MB

CD=24
AD=31
MB=?​

Answer 1

Answer:

Solution :-

in the figure

△DCE and BFE

any DEC = any BEF (vertically opp any)

EC=BE (E is the mid point)

∠DCB=∠EBF (alternate angle DC parallel to AF)

So △DCE congruent to △BFE

Therefore DC=BF ...(1)

now CD = AB (ABCD is a parallelogram)

soAF=AB+BF

=AB+DC from (1)

=AB+AB

=2AB