Question : The length of each side of a rhombus is equal to the length of the side of a square whose diagonal is $40\sqrt2$ cm. If the length of the diagonals of the rhombus is in the ratio $3:4$, then its area ( in cm²) is:

Option 1: 1550

Option 2: 1600

Option 3: 1535

Option 4: 1536

Question : The side $BC$ of a triangle $ABC$ is extended to $D$. If $\angle ACD = 120^{\circ}$ and $\angle ABC = \frac{1}{2} \angle CAB$, then the value of $\angle ABC$ is:

Option 1: $80^{\circ}$

Option 2: $40^{\circ}$

Option 3: $60^{\circ}$

Option 4: $20^{\circ}$

Question : In a $\triangle ABC$, if $2\angle A=3\angle B=6\angle C$, then the value of $\angle B$ is:

Option 1: $60^{\circ}$

Option 2: $30^{\circ}$

Option 3: $45^{\circ}$

Option 4: $90^{\circ}$

Question : The area of the rhombus is 216 cm² and the length of its one diagonal is 24 cm. The perimeter (in cm) of the Rhombus is:

Option 1: 52

Option 2: 60

Option 3: 120

Option 4: 100

Question : If the perimeter of an equilateral triangle is 18 cm, then the length of each median is:

Option 1: $3\sqrt2$ cm

Option 2: $2\sqrt3$ cm

Option 3: $3\sqrt3$ cm

Option 4: $2\sqrt2$ cm