Question

Construct a triangle ABC in which AB=5.8cm, BC+CA=8.4cm and angle B is 60 degree . Also justify your answer

Answer 1

Constructing triangle ABC in which AB = 5.8 cm , BC + CA = 8.4 cm and ∠B = 45°.

Step 1: Draw a line segment AB 5.8 cm.

Step 2 : Draw ∠B = 45°.

Step 3 : With Center B and radius 8.4 cm, make an arc which intersects BX at D. 

Step 4 : Join D to A. 

Step 5 : Draw a perpendicular bisector of segment DA it intersect the line segment BD at point C. 

Step 6 : Join C to A. 

ABC is the required triangle. 

If it's work then follow me for more answer

Answer 2

First take AB as the base , then construct angle b as 60 degrees, then on the ray, take a measure of 8.4 , mark it X, then join x to b, construct a perpendicular bisector for XB, mark the point of intersection at ray AX , mark the point of intersection as C , join A to C, your triangle is constructed. Measure BC and CA, add them, if you get your answer as 8.4cm then it's justified and mention it in a paper.