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Construct a right triangle ABC whose base BC is 6 cm and the sum of hypotenuse AC and other side AB is 10 cm.

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Sol:

Steps of construction:

Step 1: Draw a line segment BC of 6cm.

Step 2: At B draw an angle XBC of 90o.

Step 3: with center B and radius 10cm draw an arc which intersects XB at D.

Step 4: Join DC.

Step 5: Draw the perpendicular bisector of DC which intersects DB at A

Step 6: Join AC

Therefore ΔABC is the required triangle

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