Math, asked by princesscutie42, 10 months ago

Answer please I will mark you brainliest​

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Answers

Answered by HelpingHand786
1

Answer:

D

Step-by-step explanation:

THE ANSWER FOR THE ABOVE QUESTION IS 34

Answered by Itzraisingstar
1

Answer:

Hey princess cutie here is your answer

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Step-by-step explanation:

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In triangle BNC,

BC=13,

NC=5,

As it is a right angles triangle we can use the formula

pythagoras formula,

Hypotenuse²=base²+heigth²,

Substitute the value given,

13²=5²+BN²,

BN²=13²-5², using formula a²-b²=(a+b)(a-b),

BN²=(13+5)(13-5),

BN=√18×8,

BN=√144,

BN=12.

So you asked the value of DC=DM+MN+NC,

NC=5 cm,

MN=20 cm   MN║AB,

To find DM we should use again pythagorus formula:

AD²=DM²+AM²,

AD=15,

AM=BN= 12 cm as AM║BN,

= 15²=12²+DM²,

DM²=15²-12², as a²-b²=(a+b)(a-b),

DM=√(15+12)(15-12),

DM=√27×3,

DM=√81,

DM=9,

So DC= DM+MN+NC,

Substitute the values given,

DC=9+20+5,

So,DC=34.

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