Question 1 (a) - Figure it out - Page 161 - Constructing Triangle when 2 Sides and the Included Angle are given - Chapter 7 Class 7 - A tale of three Intersecting Lines (Ganit Prakash)

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Question 1 (a) - Figure it out - Page 161 Construct triangles for the following measurements where the angle is included between the sides: (a) 3 cm, 75°, 7 cm First, we draw a rough figure We take longer side as base Now, let’s construct it Steps of construction 1. Draw a line segment AB of length 7 cm 2. Now, using protractor, we draw 75° from point A 3. Since AC = 3 cm. Taking C as center, 3 cm as radius, we draw an arc Let the point where arc intersects the ray be point C 4. Join BC and label the sides Thus, Δ ABC is the required triangle Question 1 (b) - Figure it out - Page 161 Construct triangles for the following measurements where the angle is included between the sides: (b) 6 cm, 25°, 3 cm First, we draw a rough figure We take longer side as base Now, let’s construct it Steps of construction 1. Draw a line segment AB of length 6 cm 2. Now, using protractor, we draw 25° from point A 3. Since AC = 3 cm. Taking C as center, 3 cm as radius, we draw an arc Let the point where arc intersects the ray be point C 4. Join BC and label the sides Thus, Δ ABC is the required triangle