Solution of Chapter 10. Practical Geometry (NCERT - Mathematics Book)

Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

Draw a line l. Draw a perpendicular to l mat any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

Construct XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Construct an equilateral triangle of side 5.5 cm.

Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?

Construct ABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.

Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m ∠EDF = 90^o.

Construct an isosceles triangle in which the length of each of its equal sides is 6.5 cm and the angle between them is 110^o.

Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m ∠C= 60^o

Construct ∆ABC, give m ∠A= 60^o, m ∠B= 30^o and AB = 5.8 cm.

Construct ΔPQR if PQ = 5 cm, m ∠RPQ = 150^o and m ∠QRP= 40^o .

Examine whether you can construct ΔDEF such that EF = 7.2 cm, m ∠E = 110^o and m ∠F = 80^o. Justify your answer.

Construct the right-angled ΔPQR, where m ∠Q =90^o, QR =8cm and PR = 10cm.

Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the les is 4 cm long.

Construct an/isosceles right-angled triangle ABC, where m ∠ACB =90^o and AC = 6cm.