22. Five mark exercise problem III

 

In the given figure, $\triangle ABC$ is right-angled at $C$ and $DE \perp AB$. Prove that $\triangle ABC \sim \triangle ADE$ and hence find the lengths of $AE$ and $DE$.

 

Answer:

 

(i) In $\Delta ABC$ and $\Delta ADE$:

 

 

 

$\Delta ABC$ similarnot similar $\Delta ADE$

 

(ii) The length of $AE$ is $\frac{i}{i}$ $cm$.

 

The length of $DE$ is $\frac{i}{i}$ $cm$.