An umbrella is made by stitching 10 triangular pieces of cloth of two different colors, each piece measuring 15 cm, 41 cm and 28 cm. How much cloth is required for the umbrella? if the cost of 1 cm² is rs. 0.50, find the total cost of cloth.
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Answer:
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+50
s=60㎝
∴ar△=
60(60−50)(60−20)(60−50)
=
60×10×40×10
=
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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