Question : If $x=(0.25)^\frac{1}{2}$, $y=(0.4)^{2}$, and $z=(0.216)^{\frac{1}{3}}$, then:

Option 1: $y>x>z$

Option 2: $x>y>z$

Option 3: $z>x>y$

Option 4: $x>z>y$

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 : In a triangle ABC, the three angles are $x, y$, and $y+10$. Also, $2x-4y=20^{\circ}$. Which type of triangle is ABC?

Option 1: Equilateral

Option 2: Obtuse

Option 3: Acute

Option 4: Right-angled

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 base of an isosceles triangle is $2x-2y+4z$ and its perimeter is $4x-2y+6z$. Then the length of each of the equal sides is:

Option 1: $x+y$

Option 2: $x+y+z$

Option 3: $2(x+y)$

Option 4: $x+z$