Draw `Delta` ABC, with AB = 5 cm, BC = 8 cm, and `angle B = 30^(@)`. Draw the medians through A and B. Mark the point of intersection of the median as P. Join CP and extend it to meet AB at T. Measure TA and TB.

Construet a Delta ABC in which AB =4 cm, BC = 4.6 cm and angle B = 75^(@).

Construct a triangle ABC where AB = 7 cm, BC = 6 cm, and CA = 5 cm. Draw the perpendicular bisectors of AB and AC. Mark the point of intersection of the two bisectors as P. Join PA, PB, and PC and measure all these three line segments.

Construct a DeltaABC in which AB = 5 cm, BC = AC cm angleA = 60^(@) . Draw the perpendicular bisector of AB and BC. If these bisector intersect at O. Measure OA and OB.

Draw Delta ABC with AB = 5 cm, angle A = 60^(@), and angle B = 75^(@) . Use only compass and scale for construction.

Construct a right angled Delta ABC in which AB = 4.2 cm, BC = 4.5 cm and angle B = 90^(@).

Construct a DeltaABC in which AB = 5 cm, angle A = 60^(@) and angleB = 45^(@) . Draw the bisector of angleA and angleB . If these bisectors intersect at M. Measure CM.

Construct a right-angled triangle right-angled at A, hypotenuse BC = 8 cm and AB = 5 cm. Construct the perpendicular bisectors of AB and AC. Mark the point of intersection of the perpendicular bisectors as P. Measure PA, PB and PC.

Draw a DeltaABC in which AB=5 cm, BC= 6 cm and angleABC=60^(@) . Construct a triangle similar to ABC with scale factor (5)/(7) .

Draw a parallelogram ABCD, with AB=6cm, AD=4.8 cm and angleDAB=45^(@) . Draw the perpendicular bisector of side AD and let it meet AD at point P. also, draw the diagonals AC and BD, and let them intersect at point O. join O and P. measure OP. DC=5 cm

In Delta ABC, AB = 5cm , BC = 8 cm and CA = 7cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.