Question

Given a ∆ABC in which AB= 5 cm, angle A = 40° angle B= 45° Below are the steps given for the above construction. Select the correct order of construction of the ∆ABC.1) We draw the line segment AB of length 5cm 2) At A, we draw an angle XAB of measure 40° by protractor 3) At B, we draw an angle YBA of measure 45° by compass 4) Let XA and YB intersect at C​

Answer 1

Step-by-step explanation:

3.8 cm

Steps of construction:

1. Draw line segment XY = 3.8 cm.

2. With X as centre and radius more than half of XY, mark two arcs, one above and other below the line XY.

3. With Y as centre and same radius, draw two arcs cutting the previous drawn arcs and name the point of intersection as A and B.

4. Join AB and name the point where this line cuts XY as point R.

AB is the perpendicular bisector of XY.