Maharashtra Board Practice Set 2 Class 7 Maths Solutions Chapter 1 Geometrical Constructions

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Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 2 Answers Solutions Chapter 1 Geometrical Constructions.

Geometrical Constructions Class 7 Practice Set 2 Answers Solutions Chapter 1

Question 1.
Draw triangles with the measures given below:
i. In ∆ABC, l(AB) = 5.5 cm, l(BC) = 4.2 cm, l(AC) = 3.5 cm.
ii. In ∆STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm.
iii. In ∆PQR, l(PQ) = 6 cm, l(QR) = 3.8 cm, l(PR) = 4.5 cm.
Solution:
i. In ∆ABC, l(AB) = 5.5 cm, l(BC) = 4.2 cm, l(AC) = 3.5 cm.
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 2 1

ii. In ∆STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm.
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 2 2

iii. In ∆PQR, l(PQ) = 6 cm, l(QR) = 3.8 cm, l(PR) = 4.5 cm.
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 2 3

Question 2.
Draw an isosceles triangle with base 5 cm and the other sides 3.5 cm each.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 2 4

Question 3.
Draw an equilateral triangle with side 6.5 cm.
Solution:
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 2 5

Question 4.
Choose the lengths of the sides yourself and draw one equilateral, one isosceles and one scalene triangle.
Solution:
i. Equilateral triangle LMN, l(LM) = l(MN) = l(LN) = 4 cm.
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 2 6

ii. Isosceles triangle STU, l(ST) = l(TU) = 4cm, l(SU) = 6 cm
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 2 7

iii. Scalene triangle XYZ, l(XY) = 4.5 cm, l(XY) = 6.5 cm, l(XZ) = 5.5 cm
Maharashtra Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 2 8

Maharashtra Board Class 7 Maths Chapter 1 Geometrical Constructions Practice Set 2 Intext Questions and Activities

Question 1.
Draw ∆ABC such that l(AB) = 4 cm, and l(BC) = 3 cm. (Textbook pg. no. 3)

  1. Can this triangle be drawn?
  2. A number of triangles can be drawn to fulfill these conditions. Try it out.
  3. Which further condition must be placed if we are to draw a unique triangle using the above information?

Solution:

  1. ∆ABC triangle cannot be drawn as length of third side is not given.
  2. For ∆ABC to draw l(AC) > l(AB) + l(BC)
    i.e., l(AC) > 4 + 3
    i.e., l(AC) > 7 cm
    ∴ number of triangles can be drawn if l(AC) > 7 cm
  3. l(AC) > l(AB) + l(BC) is the required condition to draw a unique triangle.