Draw a ΔABC in which BC = 6 cm, ∠B = 45° and (AB − AC) = 1.5 cm. Draw the circumcircle of the triangle. Use ruler and compasses only.
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Question

Draw a ΔABC in which BC = 6 cm, ∠B = 45° and (AB − AC) = 1.5 cm. Draw the circumcircle of the triangle. Use ruler and compasses only.

KnowledgeBoat · Accepted Answer

1. Draw BC = 6 cm. 2. At point B, Construct an angle of 45°, ∠XBC = 45°. 3. Let D be a point on the ray XB such that BD = 1.5 cm. 4. Join CD. Draw the perpendicular bisector of CD such that bisector intersect ray XB at point A. 5. Join AB and AC. ΔABC is the required triangle. 6. Draw the perpendicular bisector of AB and AC. Let these bisectors intersect at O. 7. With O as centre and OA as radius, draw a circle.

Mathematics

Draw a ΔABC in which BC = 6 cm, ∠B = 45° and (AB − AC) = 1.5 cm. Draw the circumcircle of the triangle. Use ruler and compasses only.

Constructions

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