Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm.
Answer
Steps of Construction:
Step 1: A ray BX is drawn and a cut off a line segment BC = 12 cm is made on it.
Step 2: ∠XBY = 90° is constructed.
Step 3: Cut off a line segment BD = 18 cm is made on BY. CD is joined.
Step 4: Perpendicular bisector of CD is constructed intersecting BD at A. AC is joined.
Thus, ΔABC is the required triangle.