Question

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

Answer 1

Steps of Construction:

Construct BC = 3.5cm

Construct ∠CBX = 90^o

From BX cut off line segments BD = AB + AC = 5.5 cm

Join the points CD

Construct the perpendicular bisector of CD which meets the line BD at point A

Join AC

Therefore, △ ABC is the required triangle.