In an exhibition, an umbrella is made by stitching 10 triangular pieces of cloth with same message written on two triangular pieces. If each piece of cloth measures 60 cm, 60 cm and 20 cm, find how much cloth is required for each message.
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There are 10 triangles, out of which 5 of black and 5 of grey color. Now,
Area of of each cloth=5× area of 1 triangle
Area of triangle=
s(s−a)(s−b)(s−c)
,s=
2
a+b+c
=
2
50+20+60
s=65㎝
∴ar△=
65(65−50)(65−20)(65−60)
=
65×15×45×5
=
6×10×10×4×10×10
=2×10×10
6
=200
6
㎠
Area of each cloth required=(5×200
6
)㎠=1000
6
㎠
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1
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