In triangle $ABC$, $D$ lies on $AB$ and $E$ lies on $AC$. $DE$ is parallel to $BC$. It

Question

In triangle $ABC$, $D$ lies on $AB$ and $E$ lies on $AC$. $DE$ is parallel to $BC$. It is given that $AD=5$ cm, $DB=4$ cm and $AE=6$ cm. Explain why triangles $ADE$ and $ABC$ are similar. Calculate $AC$.

Accepted Answer

(a) AA; (b) $10.8$ cm.

Sec 3/4 E Math T09-Q21 - Using parallel lines and similar triangles

Sec 3/4 E Math T09-Q21 - Using parallel lines and similar triangles

Solution:

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