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Question
Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.
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Solution
The below given steps will be followed to construct the required triangle.
Step I:- Draw line segment AB of 12 cm. Draw a ray AX making 90° with AB.
Step II:- Cut a line segment AD of 18 cm (as the sum of the other two sides is 18) from ray AX.
Step III:- Join DB and make an angle DBY equal to ADB.
Step IV:- Let BY intersect AX at C. Join AC, BC.
ΔABC is the required triangle.

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