Constructions of Triangles

Construct a triangle PQR in which $QR=6 cm, \angle Q+\angle R=90°, \angle Q-\angle R=30°, \text{and} PR-PQ=2 cm$.

Construct a triangle ABC in which $AB-AC=3.1 \mathrm{cm}, BC=8 \mathrm{cm}, \angle B+\angle C=75° \text{and} \angle B-\angle C=15°$.

Construct $△RTS$ given that $\angle S=85°$,$RS=4.5 cm, \angle R-\angle S=5°$ and $RT+TS=6.3 cm$

Construct a triangle ABC in which $AB+AC=13 \mathrm{cm}, BC=7 \mathrm{cm}, \angle A=75° \text{and} \angle B-\angle C=30°$.

Draw a regular pentagon of each side $6 \mathrm{cm}$ and then a triangle of the same area. 

Draw a rhombus of side $7 \mathrm{cm}$ and one angle $60$ degree,then draw a right angle of the same area.

Construct a triangle$ABC$ in which base $BC = 6 \mathrm{cm}$, $\angle ABC = 60°$ and $AB - AC= 2 \mathrm{cm}$.

Construct a triangle $ABC$ in which $BC = 6 \mathrm{cm}, AB + AC = 8 \mathrm{cm}$ and $\angle ABC = 60°$.

Draw a regular pentagon and then a triangle of the same area. 

Draw a rhombus of sides 6cm and one angle 60 degree,then draw a right angle of the same area

Construct a triangle$ABC$ in which base $BC = 5 \mathrm{cm}$, $\angle ABC = 60°$ and $AB - AC= 1.7 \mathrm{cm}$.

Construct a triangle $ABC$ in which $BC = 5 \mathrm{cm}, AB + AC = 8.5 \mathrm{cm}$ and $ABC = 60°$.

Construct a triangle whose one of the base angle is $60°$ with base length $5 \mathrm{cm}$ and the sum of other two sides is $7 \mathrm{cm}$.

Construct a triangle with base $5.5 \mathrm{c}\mathrm{m}$, one of the base angle of value $60°$ and the sum of other two sides $8 \mathrm{c}\mathrm{m}$.
 

Write the steps for the construction of $△\mathrm{PQR}$, in which $\mathrm{PQ}-\mathrm{PR}=2.4 \mathrm{cm}$, $\mathrm{QR}=6.4 \mathrm{cm}$ and $\angle \mathrm{PQR}=55°$.

The measure of each side of an equilateral triangle constructed, if each of its altitude measures $5.4 \mathrm{cm}$ is

Write the steps of the construction of  $∆\mathrm{X}\mathrm{Y}\mathrm{Z}$ in which $\mathrm{\angle }\mathrm{Y}=30°, \mathrm{\angle }\mathrm{Z}=90°$ and $\mathrm{X}\mathrm{Y}+\mathrm{Y}\mathrm{Z}+\mathrm{Z}\mathrm{X}=11 \mathrm{c}\mathrm{m}$.

Write the steps for the construction of a triangle $△ABC$, in which $BC=5.2 \mathrm{cm}$, $\angle C=45°$ and perimeter of $△ABC$ is $10 \mathrm{cm}$?

Write steps of construction of an equilateral triangle of each side $3 cm$.

 An obtuse triangle can be drawn only when the obtuse angle is given.