Question

Question 5
Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm

Answer 1

Steps to construct the required triangle are as follows :
Step 1: Draw the line segment AB of length 12 cm and draw a ray AX making an angle ${90}^{\circ }$ with the line segment AB.
Step 2: Cut a line segment AD of 18 cm ( as the sum of the other sides is 18) on the ray AX.
Step 3: Join DB.
Step 4: Construct perpendicular bisector MN of BD, intersecting the line AD at C and Join BC
Step 5: Then$\Delta ABC$ is the required triangle.