Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm.



Steps of construction:


Step 1: Draw a ray BX and cut off a line segment BC = 12cm from it.


Step 2: construct an angle XBY = 900.


Step 3: Cut off a line segment BD = 18cm is made on BY. Join CD.


Step 4: construct a perpendicular bisector of CD intersecting BD at A. AC is joined.


Thus, is the required triangle


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