In the diagram, $ABC$ is a right-angled triangle with $\angle BAC=90^\circ$. The points $Y$ an

Question

In the diagram, $ABC$ is a right-angled triangle with $\angle BAC=90^\circ$. The points $Y$ and $X$ lie on $AB$ and $AC$ respectively, and $YX\parallel BC$. The small and large triangles are similar. Given that $AY=6$ cm, $YB=3$ cm and $AX=8$ cm, $A$ $B$ $C$ $Y$ $X$ $6\text{ cm}$ $3\text{ cm}$ $8\text{ cm}$ Diagram not drawn to scale.

Accepted Answer

(a) $\triangle AYX$ (b) $4$ cm

Right triangles cut by a parallel segment

Right triangles cut by a parallel segment

Solution:

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