find area of the triangle with the length of the side 36cm,48cm, and 60cm.
MICHEAL JAcKSON HEHE
Well, you could look Heron's formula, which works for any triangle, but you might have less work if you recognize that this is just a 3-4-5 right triangle scaled by a factor of 12.
So, the area is just 1/2 * 36 * 48 = 864
which is just the scaled version of 3-4-5:
12^2 * 1/2 * 3*4 = 864
To find the area of a triangle given the lengths of its sides, we can use Heron's formula. Heron's formula states that the area (A) of a triangle with side lengths a, b, and c is given by:
A = √(s * (s - a) * (s - b) * (s - c))
where s is the semiperimeter, calculated as:
s = (a + b + c) / 2
Let's substitute the values of the side lengths into the formula and calculate the area step by step.
Given side lengths:
a = 36 cm
b = 48 cm
c = 60 cm
Step 1: Calculate the semiperimeter (s)
s = (a + b + c) / 2
s = (36 + 48 + 60) / 2
s = 72
Step 2: Calculate the area (A)
A = √(s * (s - a) * (s - b) * (s - c))
A = √(72 * (72 - 36) * (72 - 48) * (72 - 60))
A = √(72 * 36 * 24 * 12)
A = √(11943936)
A ≈ 3456.01 cm²
Therefore, the area of the triangle is approximately 3456.01 square cm.
To find the area of a triangle when you know the lengths of all three sides, you can use Heron's formula. Heron's formula states that the area of a triangle with sides of lengths a, b, and c can be calculated using the semi-perimeter, s, given by the formula:
s = (a + b + c) / 2
The area, A, can then be calculated using the following formula:
A = √(s(s - a)(s - b)(s - c))
Now, let's calculate the area of the triangle with side lengths 36 cm, 48 cm, and 60 cm.
First, calculate the semi-perimeter:
s = (36 + 48 + 60) / 2 = 144 / 2 = 72 cm
Now, calculate the area using the formula:
A = √(72(72 - 36)(72 - 48)(72 - 60))
Simplifying this expression:
A = √(72 * 36 * 24 * 12)
A = √(124416)
Calculating the square root:
A ≈ 352.21 cm²
Therefore, the area of the triangle with side lengths 36 cm, 48 cm, and 60 cm is approximately 352.21 cm².