Question : The sides of a triangle are 8 cm, 12 cm, and 16 cm. What is the area of the triangle?

Option 1: $24 \sqrt{15}~\text{cm}^2$

Option 2: $6 \sqrt{15}~\text{cm}^2$

Option 3: $8 \sqrt{15}~\text{cm}^2$

Option 4: $12 \sqrt{15}~\text{cm}^2$

Question : Find the area of triangle whose sides are 10 cm, 12 cm, and 18 cm.

Option 1: $22 \sqrt{2} \mathrm{~cm}^2$

Option 2: $30 \sqrt{2} \mathrm{~cm}^2$

Option 3: $28 \sqrt{2} \mathrm{~cm}^2$

Option 4: $40 \sqrt{2} \mathrm{~cm}^2$

Question : The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 90 cm. Find its area (in cm²).

Option 1: 150

Option 2: 270

Option 3: 30

Option 4: 60

Question : The ratio of three sides of a triangle is $5: 5: 8$. If the area of triangle is $12\;\mathrm{cm^2}$, then what is the length (in$\;\mathrm{cm}$) of the equal sides?

Option 1: 5

Option 2: 8

Option 3: 6

Option 4: 2.5

Question : Find the area of a triangle whose length of two sides are 4 cm and 5 cm and the angle between them is 45°.

Option 1: $4 \sqrt{2} \mathrm{~cm}^2$

Option 2: $7 \sqrt{2} \mathrm{~cm}^2$

Option 3: $5 \sqrt{2} \mathrm{~cm}^2$

Option 4: $6 \sqrt{2} \mathrm{~cm}^2$