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

Question : If the sides of a triangle are in the ratio $3:1\frac{1}{4}:3\frac{1}{4}$, then the triangle is:

Option 1: Right-angled triangle

Option 2: Obtuse triangle

Option 3: Equiangular triangle

Option 4: Acute triangle

Question : The orthocentre of an obtuse-angled triangle lies:

Option 1: Inside the triangle

Option 2: Outside the triangle

Option 3: On one side of a triangle

Option 4: None of these

Question : Which of the following sets of lengths (in cm) will give three sides of an obtuse-angled triangle?

Option 1: 15, 62, 64

Option 2: 17, 64, 66

Option 3: 16, 63, 65

Option 4: 18, 65, 67