Question

Construct a right-angled triangle whose hypotenuse measures 5cm and the length of one of whose sides containing the right angle measures 4.5cm.

Answer 1

Steps of Construction:

Construct a line segment BC = 5cm

Mark the centre of the line BC as O

Considering O as centre and radius as OB, construct a semicircle on the line segment BC

Considering B as centre and radius 4.5 cm, construct an arc cutting the semicircle at the point A

Join the points AB and AC

Therefore, △ ABC is the required triangle.