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Y and A Tutoring Paper 1 with Answers and Hints · Q11

Paper 1Geometry

In triangle ABCABC, the side lengths are BC=aBC=a, CA=bCA=b and AB=cAB=c. It is given that the side lengths satisfy the algebraic relationship:

a2+b2=c2+ab.a^2+b^2=c^2+ab.

Which of the following expressions gives the exact area of triangle ABCABC in terms of aa and bb?

A14ab\frac14ab
B12ab\frac12ab
C34ab\frac{\sqrt3}{4}ab
D32ab\frac{\sqrt3}{2}ab
Eabab

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