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

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter

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