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
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.