Maths / Constructions / Construction of a triangle given its perimeter and its two base angles

QUESTION
 

Construct a triangle PQR in which large <P=75^0, large <Q=45^0 and PQ + QR + RP = 15cm. Also write steps of construction.

EXPLANATION
Explain TypeExplanation Content
Text
  • Step 1: Draw a line segment AB ( = PQ + QR + RP ) = 15cm.
  • Step 2: Draw an angle of 75° at A and an angle of 45° at B.
  • Step 3: Bisect ∠A and ∠B. Let the bisectors of ∠A and ∠B intersect in R.
  • Step 4: Draw perpendicular bisector DE of AR which intersect PQ in B and FG of RBAQ which intersect PQ in C.
  • Step 5: Join AB and AC.
  • ΔABC is the required triangle.
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