Prove that two triangles having the same base and equal areas lie between the same parallels.

Construct $△PQR$, in which $\angle Q=60°,\angle R=80°$ and $PQ+QR+RS=11 \mathrm{cm}$.

Construct $△XYZ$, such that $XY+XZ=10.3 \mathrm{cm}$, $YZ=4.9 \mathrm{cm},\angle XYZ=45°$.

Construct $△PBC$, in which $BC=5.2 \mathrm{cm}$, $\angle C=45°$ and the perimeter of $△PBC$ is $10 \mathrm{cm}$.

Construct $△ABC$, in which $BC=6.2 \mathrm{cm}$, $\angle C=50°$ and $AB+AC=9.8 \mathrm{cm}$.

$\mathrm{D}$ and $\mathrm{E}$ are points on sides $\mathrm{A}\mathrm{B}$ and $\mathrm{A}\mathrm{C}$ respectively of $△\mathrm{A}\mathrm{B}\mathrm{C}$ such that $\mathrm{a}\mathrm{r}\mathrm{}\left(\mathrm{D}\mathrm{B}\mathrm{C}\right)=\mathrm{a}\mathrm{r}\mathrm{}\left(\mathrm{E}\mathrm{B}\mathrm{C}\right).$ Prove that $\mathrm{D}\mathrm{E}\parallel \mathrm{B}\mathrm{C}.$

Construct $△PQR$, in which $QR=4.2 \mathrm{cm}$, $\angle Q=40°$ and $PQ+PR=8.5 \mathrm{cm}$.

Construct $△PQR$, in which $\angle Q=70°, \angle R=80°$ and $PQ+QR+PR=9.5 \mathrm{cm}$.

Construct $△ABC$, in which $\angle B=70°, \angle C=60°$, $AB+BC+AC=11.2 \mathrm{cm}$.

The perimeter of a triangle is $14.4 \mathrm{cm}$ and the ratio of lengths of its side is $2:3:4$. Construct the triangle.

Construct $△XYZ$ in which$\angle Y=58°, \angle X=46°$ and perimeter of triangle is $10.5 \mathrm{cm}$.

Construct $△XYZ$, in which $YZ=6 \mathrm{cm}$, $XY+YZ=9 \mathrm{cm}$ and $\angle Y=50°$