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    				| 1. | किसी समबाहु त्रिभुज की ऊंचाई 15 cm है। त्रिभुज का क्षेत्रफल ज्ञात करें? | 
| Answer» Let each side of the triangle be a cm . Then , its height `=((sqrt(3))/(2)xxa)cm.` `therefore (sqrt(3))/(2)xxa = 15 implies a=((30)/(sqrt(3))xx(sqrt(3))/(sqrt(3)))=10sqrt(3).` Thus , each side of the triangle `= a cm = 10 sqrt(3)`cm . Area of the triangle `=((sqrt(3))/(4)xxa^(4))=((sqrt(3))/(4)xx10sqrt(3)xx10sqrt(3))cm^(2)` `=(75sqrt(3))cm^(2)=((75xx173)/(100))cm^(2)` `=(519)/(4)cm ^(2) =129.75 cm^(2)` | |