Answer please I will mark you brainliest
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Answer:
D
Step-by-step explanation:
THE ANSWER FOR THE ABOVE QUESTION IS 34
Answered by
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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