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.
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.