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प्रश्न
In the given parallelogram ABCD, AB = 10 cm, BC = 15 cm and ∠ABC = 30°. Find the area of ABCD.
बेरीज
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उत्तर
Given:
AB = 10 cm
BC = 15 cm
∠ABC = 30°
Find the area of parallelogram ABCD.
Step 1:
Area = Base × Height
BC = 15cm as base.
Drop a perpendicular from point A to base BC.
Height be AP, and form triangle △ABP.
Step 2:
Use trigonometry in triangle △ABP:
sin (30°) = `(AP)/(AB)`
= `1/2 = (AP)/10`
= AP = `10 xx 1/2`
= 5 cm
= Area = Base × Height ...[calculate the area]
= 15 × 5
= 75 cm2
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