Question : The perimeter of an isosceles triangle is 544 cm and each of the equal sides is $\frac{5}{6}$ times the base. What is the area (in cm²) of the triangle?

Option 1: 38172

Option 2: 18372

Option 3: 31872

Option 4: 13872

Question : 360 cm² and 250 cm² are the areas of the two similar triangles. If the length of one of the sides of the first triangle is 8 cm, then the length of the corresponding side of the second triangle is:

Option 1: $6\frac{1}{5}\;\operatorname{ cm}$

Option 2: $6\frac{1}{3}\;\operatorname{ cm}$

Option 3: $6\frac{2}{3}\;\operatorname{ cm}$

Option 4: $6\;\operatorname{ cm}$

Question : The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find the area.

Option 1: 64 cm²

Option 2: 112 cm²

Option 3: 96 cm²

Option 4: 81 cm²

Question : The sides of a triangle are of length 8 cm, 15 cm, and 17 cm. Find the area of the triangle.

Option 1: 65 cm²

Option 2: 75 cm²

Option 3: 60 cm²

Option 4: 70 cm²

Question : If the altitude of a triangle is 8 cm and its corresponding base is 12 cm, then the area of the triangle will be:

Option 1: 96 cm²

Option 2: 48 cm²

Option 3: 84 cm²

Option 4: 24 cm²