Q3 of 33 Page 11

Explain if a ΔABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.

We know that the difference of any two sides of a triangle is less than the third side.

Here, (AC – AB) = 4 cm < BC = 6 cm.


∴ The above condition satisfies.


So, triangle can be constructed.


More from this chapter

All 33 →
1

What is the difference of AB and AC when the construction of a triangle ABC, given that BC = 3 cm, DC = 60° is possible?

(i) 2.8 cm


(ii) 3.4 cm


(iii) 4 cm


(iv) 3.1 cm

 2

Check whether an angle of 52.5° can be constructed or not.

 4

A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.

 5

Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.