Question

Construct a triangle ABC in which BC=8cm angle B =45 degree and AB-AC=3.5cm And justify the construction

Answer 1

Construction:
1)Draw the base BC = 8cm.
2)At B, construct an angle of 45 degree.
3)Draw the line segment till X such that angle XBC = 45 degrees.
4)Cut line segment BD equal to 3.5cm.
5)Join DC and draw a perpendicular bisector of DC.
6)Let it intersect BX at A. Join AC.
7)ABC is the required triangle.
Hope it helps ......

Answer 2

Steps of construction

(1)draw a line segment BC=8cm

(2)At point B, draw angle CBY=45°

(3)Cut BD=3.5 from BY

(4)Join CD

(5)Draw perpendicular bisector of CD,which intersect BY at A

(6)Join C

Now,∆ABC is a required triangle