Question

Construct an equilateral triangle using the given data: Altitude OM = 5.8 cm

Answer 1

Altitude OM = 5.8 cm

Steps of construction:
1. Draw a line segment ST of any length.
2. Through a point M on ST, draw PM perpendicular to ST such that OM = 5.8 cm.
3. Through O, draw OQ and OR making angles equal to 30° with OM and meeting ST at Q and R respectively.
Thus, OQR is the required triangle.