Construct the following and give justification :A right triangle when one side is 3.5 cm and the sum of other sides and the hypotenuse is 5.5 cm.

Given : Side = 3.5 cm, sum of other side and hypotenuse = 5.5 cm

Steps Construction :

1. Draw line BC = 3.5 cm
2. Draw line BE with $90^{\circ}$ angle at B.

3. Cut BE by 5.5 cm radius arc at D.

4. Join DC

5. Bisect DC which intersects BD at point A

6. Join AC

ABC is the required triangle.

Justification :

In DBDC and DABC

Sum of AB + AC = 5.5

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