1). A triangle with three equal sides has its area equal to \( \Large \Large 3\sqrt{3} \)sq cm. Find its perimeter.
A). \( \Large 6\sqrt{3} \)cm 
B). \( \Large 2\sqrt{3} \)cm 
C). \( \Large 5\sqrt{3} \)cm 
D). \( \Large 7\sqrt{3} \)cm 
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2). The sides of a triangle area in the ratio of \( \Large \frac{1}{3}:\frac{1}{4}:\frac{1}{5} \) and its perimeter is 94 Cm.Find the length of the smallest side of the triangle.
A). 18 cm 
B). 22.5 cm 
C). 24 m 
D). 27 cm 
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3). 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 
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4). 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). \( \Large 12cm^{2} \) 
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5). 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 
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6). 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 
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7). 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 
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8). 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 
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9). 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 
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10). 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 midpoints 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 
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