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The sides of a triangle are 3, 4 and 5 meters in length. The area of the triangle in m2 is
  • a)
    6
  • b)
    10
  • c)
    7.5
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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The sides of a triangle are 3, 4 and 5 meters in length. The area of t...

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The sides of a triangle are 3, 4 and 5 meters in length. The area of t...
Area={s(s-a)(s-b)(s-c)}
& s= (a+b+c)/2
here, a= 3,b=4 &c=5 hence, s=6
from putting all the values on the above formula of area of triangle
A= 6 m^2
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Community Answer
The sides of a triangle are 3, 4 and 5 meters in length. The area of t...
Given:
The sides of the triangle are 3, 4, and 5 meters in length.

To find:
The area of the triangle in m².

Explanation:
To find the area of the triangle, we can use Heron's formula. Heron's formula states that the area of a triangle with sides a, b, and c is given by:

Area = √(s * (s - a) * (s - b) * (s - c))

Where s is the semi-perimeter of the triangle, given by:

s = (a + b + c) / 2

Calculations:
In this case, the sides of the triangle are 3, 4, and 5 meters.

The semi-perimeter (s) is given by:

s = (3 + 4 + 5) / 2 = 6

Using Heron's formula, the area of the triangle is:

Area = √(6 * (6 - 3) * (6 - 4) * (6 - 5))
= √(6 * 3 * 2 * 1)
= √(36)
= 6

Therefore, the area of the triangle is 6 m².

Conclusion:
The area of the triangle with sides 3, 4, and 5 meters in length is 6 m². Hence, option A is the correct answer.
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The sides of a triangle are 3, 4 and 5 meters in length. The area of the triangle in m2isa)6b)10c)7.5d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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