Question : Find the area of an equilateral triangle whose sides are 16 cm.

Option 1: $60\sqrt{3}\mathrm{~cm}^2$

Option 2: $62\sqrt{3} \mathrm{~cm}^2$

Option 3: $64\sqrt{3} \mathrm{~cm}^2$

Option 4: $66\sqrt{3} \mathrm{~cm}^2$

Question : The lengths of three line segments are given. Is the construction of a triangle possible with the segments in the given cases?

Option 1: 8 cm, 7 cm, 18 cm

Option 2: 8 cm, 15 cm, 17 cm

Option 3: 10 cm, 6 cm, 4 cm

Option 4: 8 cm, 10 cm, 20 cm

Question : In a right-angled triangle, if the hypotenuse is 20 cm and the ratio of the other two sides is 4 : 3, the lengths of the sides are:

Option 1: 4 cm and 3 cm

Option 2: 8 cm and 6 cm

Option 3: 12 cm and 9 cm

Option 4: 16 cm and 12 cm

Question : Which of the set of three sides can't form a triangle?

Option 1: 5 cm, 6 cm, and 7 cm

Option 2: 5 cm, 8 cm, and 15 cm

Option 3: 8 cm, 15 cm, and 18 cm

Option 4: 6 cm, 7 cm, and 11 cm

Question : x, y, and z are the sides of a triangle. If z is the largest side and x² + y² > z², then the triangle is a:

Option 1: Isosceles right angled triangle

Option 2: Acute angled triangle

Option 3: Obtuse angled triangle

Option 4: Right angled triangle