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

Correct Answer:

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

Description for Correct answer:

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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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?

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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.

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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 \( \Large \Large \triangle ABC \)?

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7). Find the area of a rectangle having 15 m length and 8 m breadth.

A). 120 sq m

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8). The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?

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C). \( \Large (4\times 10^{4}) \)sq m

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