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An umbrella is made made by stitching 10 triangular piece of cloth of teo different colours each piece measuring 20cm,50cm,50cm.how much cloth of each colour is required for tge umbrella

Posted by Simmi Siddik 5 years, 8 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 5 years, 8 months ago

For pieces of triangle,

a = 20 cm , b = 50 cm , c = 50 cm

.°. s = a + b + c / 2

= 20 + 50 + 50 / 2

= 120 / 2

= 60 cm

.°. a triangles area = √ s ( s - a ) ( s - b ) ( s - c )

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

= √ 60 ( 40 ) ( 10 ) ( 10 )

= 200√6 cm²

.°. one colour of five triangles area ,

= 5 ( 200√6 ) cm²

= 1000√6 cm²

so, there are 1000√6 cm² cloth of each colour is required for the umbrella.

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