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Question #f5c34

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Ratnaker Mehta · Stefan V.

Jul 19, 2016

#DC=30cm.#

Explanation:

Let #M and N# be the feet of #bot# from #A and B# on side #DC#, resp.

In the #Delta ADM, AD=12, /_AMD=90^@, and /_ADM=60^@#,

so, #/_MAD=30^@#. Therefore, side opp. to #/_MAD#=1/2 of the

Hypo., or, #DM=1/2(AD)=1/2(12)="6 cm"#.

Similarly, #NC="6 cm"#.

Finally, #DC=DM+MN+NC=DM+AB+NC=6+18+6=30cm.#

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