In the following figure, point D divides AB in the ratio 3: 5. If BC = 4.8 cm, find the length of DE. contexto.140 3 years ago Solution: Because, criterion for similarity So, we have So,
![\[\vartriangle ADE\text{ }\sim\text{ }\vartriangle ABC\text{ }by\text{ }AA\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-52ce39c8e4aecd01637817d15939f3e8_l3.png "Rendered by QuickLaTeX.com")
![\[AD/AB\text{ }=\text{ }DE/BC\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-840eb51d11e0d9a81193edceb6a20479_l3.png "Rendered by QuickLaTeX.com")
![\[3/8\text{ }=\text{ }DE/4.8\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-2bb36951a2372e87d13429bd7544919e_l3.png "Rendered by QuickLaTeX.com")
![\[DE\text{ }=\text{ }1.8\text{ }cm\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5e64aca235ebf815cdf9e7163f09be1b_l3.png "Rendered by QuickLaTeX.com")
