1). The area of an equilateral triangle is \( \Large \Large 4\sqrt{3} \)sq cm. Find the length of each side of the triangle
A). 3 cm |
B). \( \Large 2\sqrt{2} \)cm |
C). \( \Large 2\sqrt{3} \)cm |
D). 4 cm |
-- View Answer |

2). The sides of a right angled triangle are equal to three consecutive numbers expressed in centimeters. What can be the area of such a triangle?
A). \( \Large 6cm^{2} \) |
B). \( \Large 8cm^{2} \) |
C). \( \Large 10cm^{2} \) |
D). \( \Large 12cm^{2} \) |
-- View Answer |

3). If the area of an equilateral triangle is x and its perimeter is y. then which one of the following is correct?
A). \( \Large y^{4}=432x^{2} \) |
B). \( \Large y^{4}=216x^{2} \) |
C). \( \Large y^{2}=432x^{2} \) |
D). None of these |
-- View Answer |

4). The area of an isosceles \( \Large \triangle ABC \) with AB = AC and altitude AD = 3 cm is 12 sq cm. What is its perimeter?
A). 18 cm |
B). 16 cm |
C). 14 cm |
D). 12 cm |
-- View Answer |

5). The area of an equilateral triangle is \( \Large \Large \frac{\sqrt{243}}{4} \)sq cm. Find the length of its side.
A). 3 cm |
B). \( \Large 3\sqrt{3} \)cm |
C). 9 cm |
D). \( \Large \sqrt{3} \)cm |
-- View Answer |

6). The ratio of length of each equal side and the third side of an isosceles triangle is 3:4. If the area of the triangle is \( \Large \Large 18\sqrt{5} \) sq units, the third side is
A). \( \Large 8\sqrt{2} \)units |
B). 12 units |
C). 16 units |
D). \( \Large 5\sqrt{10} \)units |
-- View Answer |

7). Three sides of a triangular field are of length 15 m, 20 m and 25 m long, respectively. Find the cost of sowing seeds in the field at the rate of RS. 5 per Sq m.
A). 750 |
B). 150 |
C). 300 |
D). 600 |
-- View Answer |

8). A \( \Large \Large \triangle DEF \) is formed by joining the mid points of the sides of \( \Large \Large \triangle ABC\). Similarly, a \( \Large \Large \triangle PQR \) is formed by joining the mid-points of the sides of the \( \Large \Large \triangle DEF \). If the sides of the PQR are of lengths 1, 2 and 3 units, what is the perimeter of the \( \Large \Large \triangle ABC \)?
A). 18 units |
B). 24 units |
C). 48 units |
D). Cannot be determined |
-- View Answer |

9). Find the area of a rectangle having 15 m length and 8 m breadth.
A). 120 sq m |
B). 111 sq m |
C). 115 sq m |
D). 125 sq m |
-- View Answer |

10). The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?
A). \( \Large (4\times 10^{2}) \)sq m |
B). \( \Large (4\times 10) \)sq m |
C). \( \Large (4\times 10^{4}) \)sq m |
D). \( \Large (4\times 10^{3}) \)sq m |
-- View Answer |

A) 18 cm

B) 22.5 cm

C) 24 m

D) 27 cm

Correct Answer:

Description for Correct answerGiven ratio = \( \Large \frac{1}{3}:\frac{1}{4}:\frac{1}{5} \)

Let lengths of the sides be 20x,15x and 12x.

Then, according to the question,

20x + 15x + 12x = 94 =>47x = 94

x = \( \Large \frac{94}{47} \)=2

Smallest side =12x = \( \Large 12\times 2 \) = 24 cm