Given Base, Base Angle and Sum of Other Two Sides

Q.

Construct a right-angled triangle whose hypotenuse is $6\mathrm{cm}$ long and one of the legs is $4\mathrm{cm}$ long.

Q. In which of the following cases, a unique triangle can be drawn:

1. An isosceles triangle with the length of each side equal to 5 cm
2. 
3. 
4. AB = 4 cm , BC = 8 cm , CA = 3 cm

Q. Draw the perpendicular bisector of $\overline{XY}$ whose length is 10.3 cm
Take any point P on the bisector drawn. Examine whether PX = PY.

Q.

A $∆ABC$can be constructed, when $AC=6cm,$$m\angle ACB={90}^0$and $AB=10cm$by using the _________ criterion.

1. $SAS$

2. $RHS$

Q. Draw the perpendicular bisector of $\overline{XY}$ whose length is 10.3 cm
Take any point P on the bisector drawn. Examine whether PX = PY.

Q. Draw the perpendicular bisector of $\overline{XY}$ whose length is 10.3 cm
Take any point P on the bisector drawn. Examine whether PX = PY.