An umbrella is made by stitching 10 triangular pieces of cloth of two different colours
(see Fig. 8.16) each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each
colour is required for the umbrella?
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Answer:
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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