Question : The median of an equilateral triangle is $15 \sqrt{3} \mathrm{~cm}$. What is the side of this triangle?

Option 1: 24 cm

Option 2: 18 cm

Option 3: 30 cm

Option 4: 36 cm

Question : In an equilateral triangle, the circumradius is 14 cm. What is the length of the median in this triangle?

Option 1: $14 \sqrt{3} \mathrm{~cm}$

Option 2: $21 \mathrm{~cm}$

Option 3: $18 \sqrt{3} \mathrm{~cm}$

Option 4: $7 \sqrt{3} \mathrm{~cm}$

Question : The three sides of a triangle are 7 cm, 9 cm, and 8 cm. What is the area of the triangle?

Option 1: $12 \sqrt{3} \;\mathrm{Sq} . \mathrm{cm}$

Option 2: $10\sqrt{3} \;\mathrm{Sq} . \mathrm{cm}$

Option 3: $12 \sqrt{5} \;\mathrm{Sq} . \mathrm{cm}$

Option 4: $2 \sqrt{5} \;\mathrm{Sq} . \mathrm{cm}$

Question : Find the area of an equilateral triangle whose sides are 12 cm.

Option 1: $38 \sqrt{3} \mathrm{~cm}^2$

Option 2: $35 \sqrt{3} \mathrm{~cm}^2$

Option 3: $34 \sqrt{3} \mathrm{~cm}^2$

Option 4: $36 \sqrt{3} \mathrm{~cm}^2$

Question : $\triangle \mathrm{MNO}$ is similar to $\triangle \mathrm{STU}$. Perimeters of $\triangle \mathrm{MNO}$ and $\triangle \mathrm{STU}$ are 80 cm and 200 cm respectively. If ON = 25 cm, then what is the length of TU?

Option 1: 59 cm

Option 2: 61 cm

Option 3: 62.5 cm

Option 4: 60.5 cm