the base of a prism is a right angled triangle with base edges 6 cm , 8cm and hypotenuse 10cm .if the total surface area of the prism is 156 cm^2 ,then it's lateral surface area is
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Step-by-step explanation:
Given: the base is a Right angled triangle with the sides a=6 cm, b=8 cm , c=10 cm and T.S.A= 156cm^2. we know that
[T.S.A=2b+pH=2*1/2*8*6+(6+8+10)h]
thus, 48+24h=156
24h=156-48=108
hence,h=108/24
=4.5cm
L.S.A=pH=(6+8+10)*4.5=24*4.5=108cm ^2
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