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

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Constructing a right angled triangle ABC with base, AB =12 cm and sum of hypotenuse BC and another side AC, AC + BC = 18 cm.

Steps of Construction : 

1. Draw a line segment AB = 12 cm. 

2. With the help of protractor construct ∠A = 90° and produce upto AX. 

3. Mark ‘D’ on AX such that AD = 18 cm. 

4. Join BD. 

5. Let the perpendicular bisector BD intersects AD at C. Join BC. 

6. Now required triangle ABC is constructed with Base AB = 12cm, Side AC = – 5 cm, Hypotenuse BC = 13 cm and ∠A = 90°.

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