Question : The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm2, then its perimeter is:
Option 1: 2 cm
Option 2: 3 cm
Option 3: 6 cm
Option 4: 9 cm
Correct Answer: 6 cm
Solution : Since the radius of the incircle is 2 cm. $\therefore$ OD = OE = OF = 2 cm $\therefore$ Area of $\triangle$ABC = Area of $\triangle$AOB + Area of $\triangle$BOC + Area of $\triangle$AOC ⇒ $6 = \frac{1}{2} \times AB \times 2+\frac{1}{2} \times BC \times 2+\frac{1}{2} \times CA \times 2$ ⇒ $AB + BC + CA = 6$ cm $\therefore$ The perimeter of the triangle = 6 cm Hence, the correct answer is 6 cm.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : The base of a triangle is equal to the perimeter of a square whose diagonal is $9 \sqrt{2}$ cm and its height is equal to the side of a square whose area is 144 cm2. The area of the triangle(in cm2) is:
Option 1: 216
Option 2: 72
Option 3: 144
Option 4: 288
Question : The base of a triangle is equal to the perimeter of a square whose diagonal is $6 \sqrt{2}$ cm, and its height is equal to the side of a square whose area is 144 cm2. The area of the triangle (in cm2) is:
Option 1: 288
Option 2: 216
Option 4: 72
Question : If the area of the base of a cone is 154 cm2 and the area of its curved surface is 550 cm2, then its volume is:
Option 1: 1232 cm3
Option 2: 1122 cm3
Option 3: 1434 cm3
Option 4: 1535 cm3
Question : The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm2) of the triangle?
Option 1: 60
Option 2: 96
Option 3: 90
Option 4: 120
Question : Find the area of a rhombus if the perimeter of the rhombus is 52 cm, and one of its diagonals is 10 cm long.
Option 1: 120 cm2
Option 2: 164 cm2
Option 3: 160 cm2
Option 4: 144 cm2
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile