(Q17) In the given figure, AC = 6 cm, AB = 5 cm and ∠BAC = 30^o. Find the area of the triangle.

Solution :

Draw a perpendicular BD to AC

∴ BD ⊥ AC

Now let AD = 6 - x and DC = x

Given AB = 5 cm and ∠BAD = 30° then in ∆ABD

∴ x = .67

∴ Area of ∆ABC =

1

2

bh
=

1

2

× ×
=

1

2

× × = cm²