Construction of an Angle of 90 Degrees.

Q.

Construct an angle ABC = ${90}^{\circ }$. Locate a point P which is 2.5 cm from AB and 3.2 cm from BC.

Q.

Construct angle ABC = ${90}^{\circ }$. Draw BP, the bisector of angle ABC. State the measure of angle PBC.

Q.

Two line segments $\mathrm{AB}$ and $\mathrm{AC}$ include an angle of $60°$ where $\mathrm{AB}=5\mathrm{cm}$ and $\mathrm{AC}=7\mathrm{cm}$. Locate points $\mathrm{P}$ and $\mathrm{Q}$ on $\mathrm{AB}$ and $\mathrm{AC}$, respectively such that $\mathrm{AP}=\frac{3}{4}\mathrm{AB}$ and $\mathrm{AQ}=\frac{1}{4}\mathrm{AC}$. Join $\mathrm{P}$ and $\mathrm{Q}$ and measure the length of $\mathrm{PQ}$.

Q.

Construct a triangle ABC in which BC is 5 cm, Angle B is ${60}^{\circ }$ and AB-AC=0 cm. What type of triangle is this?

1. Equilateral
2. Isosceles
3. It is not possible to construct this triangle
4. Scalene