Question

Construct a triangle ABC in which BC=6cm,angle B = 60° and (AB+AC)=9 cm.Measure AB and AC.Justify your answer.​

Answer 1

Step-by-step explanation:

1. Draw a line BC=6cm

2. Construct 30

o

at B. Extend BP.

3. Take 3.1cm on compass, cut an arc on BP. Join CX.

4. Take perpendicular bisector of CX. It intersects with BP at A. Join AC

Answer 2

Step-by-step explanation:

Step 1- draw a line segment BC = 6 cm

Step2- construct angle of 60 degree at B on BC

Step 3- taking B as Central with 9 CM radius draw Arc which cut the array of 60 degree angle at X

Step 4- Join X and C

Step 5- draw perpendicular bisector of XC

Step 6- wherever this perpendicular bisector intersecting BX name the point as A

Step 7- join A and C

Step 8- show triangle ABC we will the required Triangle

Justification

AC = AX ( as a point a on perpendicular bisector remain equidistant from X and)

AX +AB = 9cm

AC + AB = 9cm. hence justify