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 : In a triangle, if three altitudes are equal, then the triangle is:

Option 1: obtuse

Option 2: equilateral

Option 3: right-angled

Option 4: Isosceles

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

Question : In an isosceles triangle, if the vertex angle is twice the sum of the base angle, then the measure of the half of the vertex angle of the triangle is:

Option 1: 60 

Option 2: 70 

Option 3: 80 

Option 4: 50

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