Question
what is the area of a shape with the sides 8cm 4cm and 10 cm
Answers
Answered by
GPT 3.5
To find the area of a triangle with side lengths of 8 cm, 4 cm, and 10 cm, we can use Heron's formula.
First, calculate the semi-perimeter (s) of the triangle:
s = (a + b + c) / 2
s = (8 + 4 + 10) / 2
s = 11
Next, plug the side lengths and the semi-perimeter into Heron's formula:
Area = √(s(s-a)(s-b)(s-c))
Area = √(11(11-8)(11-4)(11-10))
Area = √(11(3)(7)(1))
Area = √(231)
Area ≈ 15.20 cm^2
So, the area of the triangle is approximately 15.20 square centimeters.
First, calculate the semi-perimeter (s) of the triangle:
s = (a + b + c) / 2
s = (8 + 4 + 10) / 2
s = 11
Next, plug the side lengths and the semi-perimeter into Heron's formula:
Area = √(s(s-a)(s-b)(s-c))
Area = √(11(11-8)(11-4)(11-10))
Area = √(11(3)(7)(1))
Area = √(231)
Area ≈ 15.20 cm^2
So, the area of the triangle is approximately 15.20 square centimeters.