Solution of Triangles

In Figure, $DEFG$ is a square an $\angle BAC = 90°$. If $BD = 16 \mathrm{cm}$ and $EC = 9 \mathrm{cm}$, then find $DE?$

In a $∆ABC, \angle A={30}^0, \angle B={45}^0 \& a=6$ then find the values of $\angle C, b \& c$.

There exists a triangle $ABC$ satisfying the conditions

Which of the following is compound?

Cotyledons are also called-

In the given figure, $DE\parallel BC$ and $AD:DB=5:4$. Then $\frac{\mathrm{Ar}\left(∆DEF\right)}{\mathrm{Ar}\left(∆CBF\right)}=?$

Through the mid - point of $M$ of the side $CD$ of a parallelogram $ABCD$, the line $BM$ is drawn intersecting $AC$ in $L$ and $AD$ produced in $E$. Then $EL=$

In a $\Delta \text{ABC}$, a, c and angle A are given and b₁, b₂ are two values of the third side b, such that b₂ = 2b₁, then sin A is $\{ a=BC, b=CA, c=AB\}$

A square of side 'a' lies above the x -axis and has one vertex at the origin. The side passing through the origin makes an angle $\alpha$ (0 < α < π/4) with the positive direction of x -axis. The equation of its diagonal not passing through the origin is

Which kind of attractive forces are likely to be holding particles together in a substance that melts at $681 °\mathrm{C}$ and that conducts electricity when molten but not when solid?