The straight lines $AC$ and $BD$ intersect at $O$. It is given that $AB\parallel CD$, \

Question

The straight lines $AC$ and $BD$ intersect at $O$. It is given that $AB\parallel CD$, $AO=4\text{ cm}$, $OC=6\text{ cm}$ and $AB=5\text{ cm}$. Diagrams are not drawn to scale. Prove that $\triangle AOB\sim\triangle COD$.[2] Calculate $CD$.[2]

Accepted Answer

(a) AA (b) $7.5\text{ cm}$

Similar triangles at intersecting lines

Similar triangles at intersecting lines

Solution:

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