Question

Construct ∆XYZ with measurements XY = 3.5 cm, YZ = 5 cm and ZX = 3.5 cm. Which type of triangle is this ?

Answer 1

Given sides of the ∆XYZ are XY = 3.5 cm, YZ 5 cm and ZX = 3.5 cm. In ∆XYZ two sides (XY ZX 3 5 cm) are equal. 

So, ∆XYZ is an isosceles triangle.

Steps of Construction: 

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

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

3. Draw an arc with centre Y and radius 3.5 cm.

4. Draw another arc with centre Z and same radius (3.5 cm) to intersect the previous arc at X. 

5. Join XY and XZ. 

Thus, required ∆XYZ is constructed with the given measurements.