#### Question

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

#### 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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Solution Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm. Concept: Some Constructions of Triangles.