Constructing Triangle when 2 Angles and the Included Side are given

Transcript

Constructing Triangle when 2 Angles and the Included Side are givenWhen we say two angles and an included side are given, we mean Two anles of triangle And, side between these angles is given Example Let’s do a question Construct a triangle ABC where AB = 5 cm, ∠ A = 45° and ∠ B = 80°. First, we draw a rough figure We take the side as base ∴ AB is base Now, let’s construct it Steps of construction 1. Draw a line segment AB of length 5 cm 2. Since ∠ A = 45° Using protractor, we draw 45° from point A Note: We read the blue mark on protractor 2. Since ∠ B = 80° Using protractor, we draw 80° from point B Note: We read the black mark on protractor 4. The intersection point is Point C. We label the sides Thus, Δ ABC is the required triangle