Question

Construct AABC in which BC = 6 cm, ZB = 60° and
(AB+ AC) = 9 cm. Measure AB and AC. Justify your answer.
CONSTRUCTION​

Answer 1

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Given :

• triangle abc in which b=60° bc=6cm and ab+ac=9cm  

To Find :

• construct triangle

Solution:

Step 1:

• Draw a line segment BC 6 cm.

Step 2 :

• Draw ∠B =60° using protractor and draw a ray BX.

Step 3 :

• With Center B and radius 9 cm, make an arc which intersects BX at D.

Step 4 :

• Join CD

Step 5 :

• Draw a perpendicular bisector of segment DC it intersect the ray BX at point A.

Step 6 :

• Join C to A

Triangle is constructed.