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  1. Chapter 11 Class 9 Constructions
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Construct a Right triangle whose base is  12 cm and sum of its hypotenuse and other side is 18 cm. Let triangle be Δ ABC Given base BC = 12 cm, ∠ B = 90°  and AB + BC = 18 cm. Steps of construction Draw base BC  = 7 cm and at point B make an ∠ XBC = ∠ B = 75° Cut a line segment BD equal to AB + AC from ray BX. Join DC. Draw perpendicular bisector PQ of line DC. Let PQ intersect BD a point A. Join AC. Then, Δ ABC is the required triangle.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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