an umbrella is made up by stitching 10 triangular pieces of cloths of 2 different colors, each piece measuring 61 cm, 61cm and 22 cm. How much cloth is required for the tent? If the cost of 1cm.sq. cloth is rs. 0.1, find the total cost of cloth.
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For each triangular piece, The semi perimeter will be
s = (50+50+20)/2 cm = 120/2 cm = 60cm
Using Heron’s formula,
Area of the triangular piece
=

= √[60(60-50)(60-50)(60-20)] cm2
= √[60×10×10×40] cm2
= 200√6 cm2
∴ The area of all the triangular pieces = 5 × 200√6 cm2 = 1000√6 cm2
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