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 one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is:

Option 1: isosceles

Option 2: scalene

Option 3: equilateral

Option 4: right-angled

Question : If the angles of a triangle are in the ratio of 1 : 2 : 3, what is the type of such triangle?

Option 1: Isosceles triangle

Option 2: Equilateral triangle

Option 3: Right-angle triangle

Option 4: Obtuse- angle 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 length of the sides of a triangle is $a, b,$ and $c$ respectively if $a^2 + b^2 + c^ 2 = ab + bc + ca$, then the triangle is:

Option 1: Isosceles

Option 2: Equilateral

Option 3: Scalene

Option 4: Right-angled