Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the two equal side length of the ascribed isosceles triangle be 1 unit.
Therefore;
Area triangle ABC is;
½(1*1sin36)
= ½(sin36) space unit.
= 0.29389262615 space unit.
Area purple is;
Area triangle with height 0.37567713613 unit and base (0.15621533715sin138) unit.
= 0.5*0.37567713613*0.15621533715sin138
= 0.01963447686 space unit.
It implies;
Area Triangle ABC ÷ Area Purple to 2 d. p. is;
0.29389262615 ÷ 0.01963447686
= 14.9681923407
≈ 14.97
