Question

an umberella is made by stitching 10 triangular pieces of cloth of two different colours 'each piece measuring 15cm , 41cm and 28cm. how much cloth is required for the umberella? If the cost of 1cm square

Answer 1

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First we find the area of one triangular piece. 

Here, a = b = 50 cm, c = 20 cm 

∴ s = a +b + c/ 2 = 50 +50 + 20/ 2 cm = 60 m

∴ Area of one triangular piece =
$\sqrt{s(s - a)(s - b)(s -c )}$

$= \sqrt{60(60 - 50)(60 - 50)(60 - 20} {cm}^{2}$
$= \sqrt{60 \times 10 \times 10 \times 40} {cm}^{2}$
$= 200 \sqrt{6} {cm}^{2}$

∴Area of 10 such triangular pieces
$= 10 \times 200 \sqrt{6} {cm}^{2}$
$= 2000 \sqrt{6} {cm}^{2}$

Hence cloth required for each colour
$= (2000 \sqrt{6} ) \div 2 \: {cm}^{2}$
$= 1000 \sqrt{6 \: {cm}^{2} } = = = ans.$

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