Q. In right angled triangle ABC as shown in figure AB = 12, AD = 13 & AC = √544.
Find DC.
fig is attached above
please let me know the answer
#answer needed with explanation
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Answer:
dc = 15
Step-by-step explanation:
bc = bd+dc
bc= 5+dc
in ∆ABC
angle B = 90°
ab^2 + bc^2 = ac^2
12^2 + bc^2 = (√544)^2
144 + bc^2 = 544
bc^2 = 544-144
bc^2 = 400
bc = √400
bc = 20
bc = bd + dc
dc = bc - bd
dc = 20 - 5
dc = 15
therefore ,
dc = 15
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