In this page we have *Important Questions Class 7 Maths Chapter 10: Practical Geometry* . Hope you like them and do not forget to like , social share
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(i)A triangle can be drawn if the _____ and a leg in the case of a right-angled triangle.

(ii) We can draw ____________ line (s) parallel to a given line.

(iii) The number of line (s) that can be drawn parallel to a given line through a given point not on the line is ________________.

(iv) A triangle can be drawn only when the sum of any two sides of the triangle is _______________ than third side.

(v) Construction of a triangle is not possible if three ________________ of a triangle are given.

(vi) The sum of angles of a triangle is ______________ right angles.

(vii) A triangle can be drawn if _____ sides and one angle given.

(viii) A triangle in which all three sides are of equal lengths is called _________.

Solution

(i) At least two lines can be drawn parallel to a given line through a point not lying on the line.

(ii) The sum of the angles of a triangle should be at least 180° for its construction.

(iii) A triangle with sides 6cm, 4cm and 10cm can't be constructed.

(iv) For construction of any triangle, we need any three elements.

(v) We can construct a single triangle if all the angles of triangle are known.

(vi) if the lengths of two legs of right triangle are given, we can construct the triangle.

(vii) A unique triangle can be constructed if two angles & the length of any side are given.

(viii) We can construct a triangle DEF such that EF = 7.2 cm, ∠ E = 110° and ∠F = 80°

Solution

A triangle can be constructed by taking its sides as:

(a) 1.8 cm, 2.6 cm, 4.4 cm

(b) 2 cm, 3 cm, 4 cm

(c) 2.4 cm, 2.4 cm, 6.4 cm

(d) 3.2 cm, 2.3 cm, 5.5 cm

Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle:

(a) 3 cm, 4 cm, 6 cm

(b) 9 cm, 16 cm, 26 cm

(c) 1.5 cm, 3.6 cm, 3.9 cm

(d) 7 cm, 24 cm, 26 cm

Which of these triangle can be constructed?

(a) $ \Delta ABC$ , ∠A = 85°, ∠B = 115°, AB = 5 cm.

(b) $ \Delta PQR$ ∠Q = 30°, ∠R = 60°, QR = 4.7 cm.

(c) $ \Delta ABC$ BC = 2 cm; AB = 4 cm; AC = 2 cm.

(d) $ \Delta LMN$ ∠L = 60°, ∠N = 120°, LM = 5 cm.

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

(a) AB = 4 cm, BC = 8 cm and CA = 2 cm

(b) BC = 5.2 cm, ∠B = 90° and ∠C = 110°

(c) XY = 5 cm, ∠X = 45° and ∠Y = 60°

(d) An isosceles triangle with the length of each equal side 6.2 cm.

Solution 3-6

(a)Construct a triangle PQR with PQ=6cm, QR=7cm and PR=8cm. Using ruler and compasses only

(b)Draw bissector of $\angle QPR$.Also draw perpendicular from vertex Q on PR.

(c) Measure the length of perpendicular

Solution

(a)Construct a triangle PQR with PQ=3.6cm, QR=3.2cm and $\angle Q=120^0$

(b) Measure the other two angles

Solution

(a) Construct a triangle ABC with BC=6cm,$\angle B=35^0$ and $\angle C=100^0$

(b) Also draw a perpendicular from A on BC.

Solution

Construct a right angled triangle whose hypotenuse is of length 4cm and one side is of length 2.5 cm.

Solution

Construct an equilateral triangle ABC of side 6 cm.

Class 7 Maths Class 7 Science