and umbrella is made by stitching 10 triangular pieces of cloth of two different colours each piece machine into centimetre 50 cm and 15 cm how much profit of each colour is required for the umbrella
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Solution:-
_______
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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