question_answer 7)

Construct \[\Delta ABC\] such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure\[\angle B\].

Answer:

                Steps of construction 1. Draw a line segment BC of length 6 cm. 2. With B as centre, draw an arc of radius 2.5 cm. 3. With C as centre, draw an arc of radius 6.5 cm. 4. Mark the point of intersection of arcs as A. 5. Join AB and AC. \[\Delta \Alpha \Beta C\] is now ready. On measurement, \[\angle B={{90}^{\text{o}}}\]