In Δ ABC, the median AD is 7 cm and CB is 14 cm, measure of ∠CAB is
A) 30° B) 60° C) 90° D) 120°
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We know that the median divides the line line into 2 equal parts.
BC = 14 cm. _________( given)
Thus, BD = DC =7 cm.
Now AD becomes perpendicular to BC ___ (AD =1/2 BC)
Thus L ADB =90°
Here we know that,
AD = BD and AD = DC _____(1)
Now, In Triangle ABD,
The sum of angles of triangle is 180°
So, we get L DAB and L DBA=30°
Now ,
L BAD + L CAD = L CAB
Thus L CAB =60°
Option B is your answer.
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