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)`


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