Question

Question 4
Construct $\Delta$ ABC such that AB = 2.5 cm, BC = 6cm and AC = 6.5 cm. Measure $\angle$ B.

Answer 1

To construct: $\Delta$ ABC in which AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm.

(a) Draw a line segment BC = 6 cm
(b) Taking B as centre and radius 2.5 cm, draw an arc.
(c) Similarly, taking C as centre and radius 6.5 cm, draw another arc which intersects first arc at point A.
(d) Join AB and AC.
(e) Measure angle B with the help of protractor. It is the required $\Delta$ ABC where $\angle$ B = ${80}^{\circ }$.