Question

an umbrella is made by stitching 10 triangles peices of cloth of two different colors each piece measuring 20cm,50cm,and 30cm. how much cloth of each color is required for an umbrella
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Answer 1

Answer:

hello

here is your answer

solution :-

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for pieces of triangles ,

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

therefore, s = a + b + c / 2

= 20 + 50 + 50 / 2

= 120 / 2

= 60 cm

therefore, a triangles area =

$\sqrt{s \: ( \: s \: - \: a \: ) \: ( \: s \: - b \: ) \: ( \: s \: - \: c)}$

=

$\sqrt{60(60 - 20)(60 - 50)(60 - 50)}$

=

$\sqrt{60(40)(10)(10)}$

=

$200 \sqrt{6 \: cm {}^{2} }$

therefore, one colour of five triangles area ,

=

$5(200 \sqrt{6) \: cm {}^{2} }$

=

$1000 \sqrt{6 \: cm {}^{2} }$

so there are

$1000 \sqrt{6 \: cm {}^{2} }$

cloth of each colour is required for the umbrella.

thanks

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