A hand fan is made by stitching 8 equal size triangular strips of two different types of paper as shown in figure. the dimensions of equal strips are 25 cm, 25 cm and 14 cm. Find the area of each type of paper needed to make the hand fan
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thrisuna:
how did u get 32
it is the formula, s stands for semi perimeter,that is sum of the three sides divided by 2 or can also be called as dividing the perimeter by 2
so in this case, 32 is the semi perimeter
oh thx so much
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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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