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An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see Figure), 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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For each triangular piece, Semi-perimeter, By Heron’s formula, Area of triangle Since there are 5 triangular pieces made of two different coloured cloths, Area of each cloth required
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For each triangular piece,

Semi-perimeter, 

By Heron’s formula,

Area of triangle

Since there are 5 triangular pieces made of two different coloured cloths,

Area of each cloth required

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Comments

Area of each triangular cloth = √60 ( 60 - 50 ) ( 60 - 50 ) ( 60 - 20 ) = √60 × 10 × 10 × 40 = √ 2 × 2 × 3 × 5 × 10 × 10 × 2 × 2 × 2 × 5 = 2 × 2 × 10 × 5 √3 × 2 = 200√6cm². Cloth...
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Area of each triangular cloth

= √60 ( 60 - 50 ) ( 60 - 50 ) ( 60 - 20 )

= √60 × 10 × 10 × 40 = √ 2 × 2 × 3 × 5 × 10 × 10 × 2 × 2 × 2 × 5 = 2 × 2 × 10 × 5 √3 × 2

= 200√6cm².

Cloth required for each colour = 200√6 × 5 = 1000√6cm².

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Mca Passesd Home/Online Tutor With 12 Years Experience.

1000
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Tutor (physics, chemistry, Mathematics) having 8 years of teaching experience

1000√6 cm²
Comments

IITian with 20 Years of teaching exp. and IIM Calcutta MBA

1000x cloth of each colour is required for the umbrella. Use Haron's formula.
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