In the following figure, point D divides AB in the ratio 3: 5. If BC = 4.8 cm, find the length of DE.
In the following figure, point D divides AB in the ratio 3: 5. If BC = 4.8 cm, find the length of DE.

Selina Solutions Concise Class 10 Maths Chapter 15 ex. 15(B) - 1

Solution:

Because, \[\vartriangle ADE\text{ }\sim\text{ }\vartriangle ABC\text{ }by\text{ }AA\] criterion for similarity

So, we have

\[AD/AB\text{ }=\text{ }DE/BC\]

\[3/8\text{ }=\text{ }DE/4.8\]

So,

\[DE\text{ }=\text{ }1.8\text{ }cm\]