Question

Construct a triangle with non-included angle for the sides of ST and SU of lengths 6 cm and 7 cm. respectively and ∠T = 80°.

Answer 1

Given measurements of ∆STU are ST = 6 cm, SU = 7 cm and ∠T = 80°.

Steps of Construction: 

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

2. Draw a line segment with ST = 6 cm. 

3. Draw a ray TX such that ∠STX = 80°. 

4. Draw an arc with centre S and radius 7 cm to intersect TX at point U. 

5. Join SU. 

Hence, required triangle ∆STU is constructed with the given measurements.