Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
29th November, 2024

Sir Mike Ambrose is the author of the question.


Let the two equal marked lengths of triangle ABC be 2 units.


Therefore;


Area triangle ABC is;


Area triangle with height 5.75877048314 units and base (5.75877048314sin20) units.


= 0.5*5.75877048314*5.75877048314sin20

= 5.67128181961 space units.


Area purple is;


Area triangle with height 4 units and base (1.11985686148sin28.334490436) units.


= 0.5*4*1.11985686148sin28.334490436

= 1.06300877373 space units.


It implies;


Area Purple ÷ Area ABC to 2 d. p. is;


1.06300877373 ÷ 5.67128181961

= 0.18743712754

≈ 0.19

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