Geometrical Constructions Class 7 Practice Set 4 Answers Solutions Chapter 1
Construct triangles of the measures given below:
Question 1
Maharashtra Board Solution
In ∆SAT, l(AT) = 6.4 cm, m∠A = 45°, m∠T = 105°.
Solution & Step-by-Step Answer:
Question 2
Maharashtra Board Solution
In ∆MNP, l(NP) = 5.2 cm, m∠N = 70°, m∠P = 40°
Solution & Step-by-Step Answer:
Question 3
Maharashtra Board Solution
In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°.
Solution & Step-by-Step Answer:
In ∆EFG, m∠E + m∠F + m∠G = 180° …(sum of measures of angles of a triangle) m∠E + 65° + 45° = 180° m∠E + 110° = 180° m∠E = 180° – 110° m∠E = 70°
Question 4
Maharashtra Board Solution
In ∆XYZ, l(XY) = 7.3 cm, m∠X = 34°, m∠Y = 95°.
Solution & Step-by-Step Answer:
Maharashtra Board Class 7 Maths Chapter 1 Geometrical Constructions Practice Set 4 Intext Questions and Activities
Question 1
Maharashtra Board Solution
In ∆ABC, m∠A = 60°, m∠B = 40°, l(AC) = 6 cm. (Textbook pg. no. 5) 1. Can you draw ∆ABC? 2. What further information is required before it can be drawn? 3. Which property can be used to get it? 4. Draw the rough figure to find out.
Solution & Step-by-Step Answer:
1. ∆ABC cannot be drawn using the given information. Seg AC is included inside the angles ∠A and ∠C. Since measure of ∠C is not known, the triangle cannot be drawn. 2. To draw the triangle, measure of ∠C is required. 3. The property of sum of the measures of the angles of a triangle can be used to find out m∠C. 4. In ∆ABC, m∠A + m∠B + m∠C = 180° ∴ 60° + 40° + m∠C = 180° ∴ 100° + m∠C = 180° m∠C = 180°- 100° ∴ m∠C = 80°