An umbrella is made by stitching 10 triangular pieces of cloth.... -Maths 9th

1 Answer

Answer :

The sides of triangular pieces are 20 cm, 50 cm and 50 cm. Let a = 20 cm, b = 50 cm, c = 50 cm ∴  Semi - perimeter, s = (a + b + c)/2   =  (20 + 50 + 50)/2 s = 60 cm ∴  Area of one triangular piece = root under (√s(s - a)(s - b)(s - c)) =  root under (√60(60 - 20)(60 - 50)(60 - 50)) =   root under (√60 x 40 x 10 x 10)  = 200√6 cm2   Cloth of each design required = Area of 5 triangular pieces = 5 x  200√6  = 1000√6 cm2

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