Question

Construct an equilateral triangle DEF in which DE = EF = FD = 5 cm.

Answer 1

Given measurements of ∆DEF are DE = EF = FD = 5 cm.

Steps of Construction: 

1. Draw a rough sketch of the triangle and label it with the given measurements. 

2. Draw a line segment DE of length 5 cm.

3. Draw an arc with centre D and radius 5 cm. 

4. Draw another arc with centre E and same radius (5 cm) to intersect the previous arc at F. 

5. Join DF and EF. 

Thus, required triangle ∆DEF is constructed with the given measurements.