Q2 of 805 Page 12

Is it possible to construct a in which AB = 5 cm, BC = 5 cm and AC = 10 cm?

A. Yes B. No


Tip – Sum of two sides > the third side for any triangle to exist.


In this case,


Sum of two sides = AB+BC = (5+5)cm=10cm


But, AC = 10cm


So, the condition AB+BC>AC is not satisfied.


Hence, triangle construction is not possible.


So, the correct option is (B)


More from this chapter

All 805 →
6

Using ruler and compasses only, construct a Δ ABC from the following data :

AB+BC+CA=12 cm, ∠B = 45° and ∠C = 60°.


 1

Is it possible to construct a in which BC = 5 cm,

A. Yes B. No


3

Is it possible to construct an angle of 75° using ruler and compass only?

A. Yes B. No


 4

Construct a whose perimeter is 12 cm and whose base angles are 45° and 60°.