Question : If the perimeter of an isosceles right triangle is $8(\sqrt{2}+1)$ cm, then the length of the hypotenuse of the triangle is:

Option 1: 8 cm

Option 2: 12 cm

Option 3: 10 cm

Option 4: 24 cm

Question : $\triangle ABC \sim \triangle DEF$ such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of $\triangle DEF = 25$ cm, then the perimeter of $\triangle ABC$ is:

Option 1: 40 cm

Option 2: 30 cm

Option 3: 35 cm

Option 4: 45 cm

Question : The perimeter of an equilateral triangle is 48 cm. Find its area (in cm²).

Option 1: $81\sqrt{3}$

Option 2: $8\sqrt{3}$

Option 3: $25\sqrt{3}$

Option 4: $64\sqrt{3}$

Question : In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratios of areas of the isosceles triangle and an equilateral triangle with the same perimeter are:

Option 1: $30\sqrt{5}:{100}$

Option 2: $32\sqrt{5}:{100}$

Option 3: $36\sqrt{5}:{100}$

Option 4: $42\sqrt{5}:{100}$

Question : The area of a triangle is 96 cm² and the ratio of its sides is 6 : 8 : 10. What is the perimeter of the triangle?

Option 1: 48 cm

Option 2: 56 cm

Option 3: 64 cm

Option 4: 44 cm