Asit Das Gupta and Alok Kumar Solutions for Exercise 3: Revision Exercise 3

Classify $△ABC$ when $\angle ABC=40° and \angle ACB=75°$.

Find the angles of a triangle in which the biggest angle is double the smallest angle, and the third angle is half of the sum of the other two angles. 

Find the value of $x$.

Which of the following sets of three angles can be that of the angles of a triangle?

$\left\{90°,30°,50°\right\},\left\{40°,50°,100°\right\},\left\{50°,60°,70°\right\},\left\{20°,30°,40°\right\}$

Use only a ruler and a pair of compasses to construct $△ABC$

$AB=5.8 cm, \angle CAB=45° \text{and} \angle BCA=75°$

Use only a ruler and a pair of compasses to construct $∆ABC$

$BC=6 cm, AC=5 cm, \text{and} \angle BCA=45°$

Use only a ruler and a pair of compasses to construct $∆ABC$

$AB=6.2 cm, BC=5 cm, CA=4.5 cm$

Construct an equilateral triangle of side $5.5 cm$.