Question : The sides of a triangle are 20 cm, 21 cm, and 29 cm. The area of the triangle formed by joining the midpoints of the sides of the triangle will be:

Option 1: $67 \frac{2}{3}$ cm²

Option 2: $52 \frac{1}{2}$ cm²

Option 3: $47 \frac{1}{2}$ cm²

Option 4: $58 \frac{1}{3}$ cm²

Question : In an isosceles triangle, if the unequal side is 8 cm and the equal sides are 5 cm, then the area of the triangle is:

Option 1: 12 cm²

Option 2: 25 cm²

Option 3: 6 cm²

Option 4: 11 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 : The centroid of an equilateral triangle $ABC$ is $G$ and $AB = 10 \:\operatorname{ cm}$. The length of $AG$ is:

Option 1: $3\frac{1}{3} \:\operatorname{ cm}$

Option 2: $\frac{10}{\sqrt3} \:\operatorname{ cm}$

Option 3: $10\sqrt3 \:\operatorname{ cm}$

Option 4: $\frac{1}{\sqrt3} \:\operatorname{ cm}$

Question : The perimeter of a parallelogram is 48 cm. If the height of the parallelogram is 6 cm and the length of the adjacent side is 8 cm. Find its area.

Option 1: 90 cm²

Option 2: 80 cm²

Option 3: 84 cm²

Option 4:  96 cm²