Question

An umbrella is made by stitching 10 triangular piece of cloth of two different colors each piece measuring 20 CM 50 cm and 50 cm how much cloth of each color is required for the umbrella

Answer 1

Here is your answer.

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Solution:-
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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.

thanks