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 $\angle$B=$30^{\circ}$
• 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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