Maths / Constructions / Construction of a triangle given a base and base angle and the difference of other two sides

QUESTION
 

Construct a triangle ABC in which BC = 6cm , < B = 30 and AC - AB = 1.5 cm. Mention the steps of construction.

EXPLANATION
Explain TypeExplanation Content
Text

Steps of constructions:  

  • Draw BC=6cm
  • At B, draw angleB=30^{circ}
  • Produce YB
  • Mark a point X, such that BX = 1.5 cm
  • Join CX, and draw bisector of CX, intersecting BY at A.
  • Join AC
  • ABC is the required triangle
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