Question

Construct right triangle whose one side is 3.5cm and the sum of the other side and the hypotenuse is 5.5cm.

Answer 1

Let given right triangle be ABC.
Then, given BC = 3.5 cm, $\angle B$ = 90° and sum of other side and hypotenuse i.e., AB + AC = 5.5 cm
To construct ΔABC use the following steps
1.Draw the base BC = 3.5 cm
2.Make an angle XBC = 90° at the point B of base BC.
3. From BX cut off line segment BD=AB+AC=5.5 cm and join CD.
4. Construct the perpendicular bisector of CD which meets the line BD at point A and Join AC.
5. Therefore $\Delta ABC$ be the required right angled triangle.