An umbrella is made by stitching 10triangular pieces of cloth, sides of each piece measuring 20 cm, 50 cm and 50 cm. (:√=.)(i)What will be the area ofclothrequired for the umbrella?(ii)Find the height of each triangle corresponding to base 20cm.
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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=2a+b+c=250+20+50
s=60㎝
∴ar△=60(60−50)(60−20)(60−50)=60×10×40×10
=6×10×10×4×10×10=2×10×106=2006㎠
Area of each cloth required=(5×2006)㎠=10006㎠
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