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) $$\Large 12cm^{2}$$

 A) $$\Large 6cm^{2}$$

Since, the triangle is right angled.

All the three consecutive sides must satisfy Pythagoras theorem 3, 4 and 5 are the sides of triangle which satisfy Pythagoras theorem.

$$\Large (5^{2}=4^{2}+3^{2})$$

Area of triangle = $$\Large \frac{1}{2}\times 4\times 3=6cm^{2}$$

Similar Questions
1). 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
2). 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
3). 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
4). 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
5). 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
6). 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
 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