Q3 of 805 Page 11

A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm.

Step 1:
Draw
YBX = 90°.



Step 2:


With B as center and radius 3.5cm and 5.5cm respectively cut arcs intersecting BX at C and BY at Z.



Step 3:


Join ZC and construct its perpendicular bisector intersecting BY at A.



Step 4:
Join AC.



ABC is the required triangle.


Justification


Here ABC=90° , BC=3.5cm by construction.


As A is the point of intersection of the perpendicular bisector and CZ,


So, AZ=AC which means AB+AZ=5.5cm


And at the same time AB+AC=5.5cm


Hence the triangle Construction is justified.


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