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 = 8cm, $\dpi{120} \fn_jvn \large and AB - AC = 3.5cm

EXPLANATION
Explain TypeExplanation Content
Text

The below given steps will be followed to draw the required triangle.

• Step I: Draw the line segment BC = 8 cm and at point B, make an angle of 45°, say ∠XBC.
• Step II: Cut the line segment BD = 3.5 cm (equal to AB − AC) on ray BX.
• Step III: Join DC and draw the perpendicular bisector PQ of DC.
• Step IV: Let it intersect BX at point A. Join AC. ΔABC is the required triangle.
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