Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
3rd August, 2024

Sir Mike Ambrose is the author of the question.

Let the two equal lengths of the isosceles triangle be 2 units.


Therefore;


Area triangle ABC is


= 2sin36 square units.

= 1.17557050458 square units.


Area green is;


Area triangle with lengths 0.93931804148 units and 0.51440724841 units, and angle 63°, the angle they form.


= ½(0.93931804148*0.51440724841)sin63

= 0.21526361627 square units.


It implies;


Area Green ÷ Area Isosceles Triangle ABC to 2 d.p. is;


0.21526361627 ÷ 1.17557050458

= 0.18311416919

≈ 0.18

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