An umbrella is made by stitching 10 triangular pieces of cloth of two different colours each piece measuring 20 cm, 50 cm and 50cm. how much cloth of each colour is required for the umbrella<br />(answer with explain: using heron's formula) (challenge for brainlists)
Answers
Answer:
2454.4 cm²( approx.)
Step-by-step explanation:
Using Heron's formula : √s(s-a)(s-b)(s-c), where s is the semi-perimeter or s= (a+b+c)/2 , and where a,b,c are the sides of the triangle.
For an isosceles triangle,where a=b, the area is = √s(s-a)(s-b)(s-c)
= √s(s-a)(s-a)(s-c) => √s(s²+a²-2as)(s-c)
=> √s(s³-s²c+a²s-a²c-2as²+2asc) => √s⁴-s³c+a²s²-a²sc-2as³+2as²c
Actually, you can save yourself a lot of time and hassle by using the original Heron's formula instead.......
Area of one piece of triangular cloth :
=> √s(s-50)(s-50)(s-20)
=> s= 120/2 = 60 m
=> Area = √60(60-50)(60-50)(60-20)
=> √60(10)(10)(40)
=> √240000
=> 490.9 cm²( approx.)
10 piece in total , 2 different colours. Therefore each colour has 5 triangles ( if it is given that the two coloured groups are equal in number).
=> Area of cloth to be used for each colour = 490.9 × 5
=>2454.4 cm²( approx.)
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Answer:
see the attachment
Step-by-step explanation:
hope it helps you
