Question

Construct a right triangle whose base is 8 cm and sum of its hypotenuse and other side is 16 cm.

Answer 1

Steps to construct the required triangle are as follows :
Step 1: Draw the line segment BC of length 8 cm and draw a ray BX making an angle ${90}^{\circ }$ with the line segment BC.
Step 2: Cut a line segment BE of 16 cm (as the sum of the length of its other sides is 16 cm) on the ray BX.
Step 3: Join CE.
Step 4: Draw the perpendicular bisector of EC meeting BE at A. Join AC

Then, $\Delta ABC$ is the required triangle.