A hand fan is made by syiching 10 equal size triangular strips of two different types of paper as shown in fig.12.28.The diamention of equal strips are 25cm,25cm,and 14cm.Find the area of each type of paper needed to make the hand fan.
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Let a = 25cm, b = 25cm, c = 14cm
s = a+b+c/2 = 25+25+14/2
= 64/2 = 32cm
Area = √s(s-a)(s-b)(s-c)
= √32*7*7*18
= √2*2*2*2*2*7*7*2*3*3
= 2*2*2*7*3
= 8*21
= 168cm²
Area of 1 triangular strip = 168cm²
Area of 5 traingular strips = 168*5 = 840cm²
⇒Area of 5 first type of strips = 840cm²
Area of 5 second type of strips = 840cm²
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