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

QUESTION
 

Construct a triangle PQR in which QR = 6cm, large <Q=60^0 and PR - PQ = 2cm.

EXPLANATION
Explain TypeExplanation Content
Text

As PR > PQ, the side containing the base angle Q is less than third side.

  • Cut the line segment QS equal to PR-PQ=2 cm , from the ray QX extended on  opposite side of base QR.
  • Join SR and draw its perpendicular bisector ray AB which intersect SR at M.
  • Let P be the intersection point of SX and perpendicular bisector AB. Then join PR.
  • Thus ∆PQR is the required Triangle.
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