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APMOPS 2016 Question 6

APMOPS · APMOPS 2016

Question 6

The diagram shows an isosceles triangle $ABC$ in which $\angle BAC=90^\circ$ and $BC=6$ cm. $F$ is a point on $BA$ produced such that $FD$ is perpendicular to $BC$ and it intersects $AC$ at $E$. $D$ lies on $BC$. Find the total length of $DE$ and $DF$.

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