R d sharma solutions mathematics class 7 Solutions for Chapter 17 constructions

Exercises in Chapter 17 constructions Grade 7

Constructions Exercise 17.1

Constructions Exercise 17.2

Constructions Exercise 17.3

Constructions Exercise 17.4

Constructions Exercise 17.5

Questions in Constructions Exercise 17.1

Draw a ∠BAC of measure 50o such that AB = 5 cm and AC = 7 cm. Through C draw a line parallel to AB and through B draw a line parallel to AC, intersecting each other at

D. Measure BD and CD

Draw a line PQ. Draw another line parallel to PQ at a distance of 3 cm from it.

Take any three non-collinear points A, B, C and draw ∠ABC. Through each vertex of the triangle, draw a line parallel to the opposite side.

Draw two parallel lines at a distance of 5kms apart.

Questions in Constructions Exercise 17.2

Draw △ABC in which AB = 5.5 cm. BC = 6 cm and CA = 7 cm. Also, draw perpendicular bisector of side BC

Draw ΔPQR in which PQ = 3 cm, QR = 4 cm and RP = 5 cm. Also, draw the bisector of

∠Q

Draw an equilateral triangle one of whose sides is of length 7 cm.

Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm. Draw the perpendicular bisector of the largest side.

Draw a triangle ABC with AB = 6 cm, BC = 7 cm and CA = 8 cm. Using ruler and compass alone, draw (i) the bisector AD of ∠A and (ii) perpendicular AL from A on BC. Measure LAD.

Draw △DEF such that DE= DF= 4 cm and EF = 6 cm. Measure ∠E and ∠F. Solution:

Draw any triangle ABC. Bisect side AB at D. Through D, draw a line parallel to BC, meeting AC in E. Measure AE and EC.

Questions in Constructions Exercise 17.3

Draw △ABC in which AB = 3 cm, BC = 5 cm and ∠Q = 70 ⁰

Draw △ABC in which ∠A=70. AB = 4 cm and AC= 6 cm. Measure BC

Draw an isosceles triangle in which each of the equal sides is of length 3 cm and the angle between them is 45 degree

Draw △ABC in which ∠A = 120, AB = AC = 3 cm. Measure ∠B and ∠C.

Draw △ABC in which ∠C = 90 and AC = BC = 4 cm.

Draw a triangle ABC in which BC = 4 cm, AB = 3 cm and ∠B = 45o. Also, draw a perpendicular from A on BC.

Draw a triangle ABC with AB = 3 cm, BC = 4 cm and ∠B = 60. Also, draw the bisector of angles C and A of the triangle, meeting in a point O. Measure ∠COA.

Questions in Constructions Exercise 17.4

Construct ΔABC in which BC = 4 cm, ∠B = 50o and ∠C = 70

Draw ΔABC in which BC = 8 cm, ∠B = 50 and ∠A = 50

Draw ΔABC in which ∠Q = 80, ∠R = 55 and QR = 4.5 cm. Draw the perpendicular bisector of side QR.

Construct ΔABC in which AB = 6.4 cm, ∠A = 45o and ∠B = 60

Draw ΔABC in which AC = 6 cm, ∠A = 90 and ∠B = 60

Questions in Constructions Exercise 17.5

Draw a right triangle with hypotenuse of length 5 cm and one side of length 4 cm.

Draw a right triangle whose hypotenuse is of length 4 cm and one side is of length

2.5 cm.

Draw a right triangle having hypotenuse of length 5.4 cm, and one of the acute angles of measure 30

Construct a right triangle ABC in which AB = 5.8 cm, BC = 4.5 cm and ∠C = 90.