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secondary 4 | A Maths
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Nancy
Nancy

secondary 4 chevron_right A Maths chevron_right Singapore

please help! topic is triangle centres, circumcenter, i centre

Date Posted: 2 years ago
Views: 545

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Boy Mow Chau
Boy Mow Chau's answer
317 answers (Tutor Details)
1st
consider the 2 pieces of information given, the length of the hypotenuse and the area of the triangle. try to form equations with them and solve the equations.

note that ...
equation (1) turns out to be equation of a circle,
equation (2) turns out to be equation of a hyperbola.

for simultaneous equations in current O level Add Maths syllabus, one of the equations should be linear. this question should be out of Add Maths syllabus because it involves 2 non-linear equations. this question probably meant for IP students. nevertheless, solving the 2 equations is similar, you need to try to reduce to one unknown by elimination or by substitution.

the answer is verified to be correct using graph plotter.