Geometry
# Properties of Triangles

$ABCD$ in such a way that side $BC$ becomes $BE.$ If the length of $\overline{AB}$ is $3$ and the length of $\overline{BC}$ is $15,$ what is the area of $\triangle ABF?$

As shown in the above diagram, Raj folds a rectangular paper**Note:** The above diagram is not drawn to scale.

$\angle BAC=90^\circ, \angle ACD=75^\circ, \angle CBD=75^\circ, \angle BDE=110^\circ.$ What is $\angle ABC$ in degrees?

In the above diagram, we are given$\overline{AD}$ to the length of $\overline{DC}$ is $3:2.$ If the area of $\triangle ABE$ is $13,$ what is the area of $\triangle BEC ?$

In the above diagram, the ratio of the length of**Note:** The above diagram is not drawn to scale.