Question

Construct a triangle having two sides as 5 cm and 4 cm and one non- included angle as ${30}^{\circ }.$ How many such triangle can be drawn ?

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is B 2

(i) Construct a line AB = 5 cm

(ii) Draw AC making angle ${30}^{\circ }$ with AB using the protractor

(iii) Measure 4 cm on the compass and from point B as center draw circle of radius 4 cm.

We observe that it is cutting line AC at two points D & E. So, we will get two triangles ADB and AEB having sides 5 cm & 4 cm and non -included angle ${30}^{\circ }$.

So, a total of 2 triangles are possible.