Q4 of 33 Page 11

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

Given, AB + BC + AC = 10 cm

∠B = 105° and ∠C = 90°


We know that the sum of angles of a triangle is 180°.


But ∠B + ∠C = 105° + 90° = 195° > 180° which is not possible.


Hence the triangle cannot be constructed.


More from this chapter

All 33 →
2

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

 3

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

 5

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

 6

Construct a rectangle whose adjacent sides are of lengths 5 cm and 3.5 cm.