Question
Find the surface area of a triangle with one side of 10 in one side of 8 in and one side of 8 in. 224 cm or 384 cm or 144 cm which is correct
Answers
GPT 3.5
To find the surface area of a triangle, we can use Heron's formula:
Let the sides of the triangle be a = 10 in, b = 8 in, and c = 8 in.
The semi-perimeter of the triangle, s, is given by:
s = (a + b + c) / 2
s = (10 + 8 + 8) / 2
s = 13
Now, we can use Heron's formula to find the area of the triangle:
Area = √[s(s - a)(s - b)(s - c)]
Area = √[13(13 - 10)(13 - 8)(13 - 8)]
Area = √[13(3)(5)(5)]
Area = √[975]
Area ≈ 31.304
Therefore, the correct surface area of the triangle is approximately 31.304 square inches. None of the provided options are correct (224 cm, 384 cm, 144 cm).
Let the sides of the triangle be a = 10 in, b = 8 in, and c = 8 in.
The semi-perimeter of the triangle, s, is given by:
s = (a + b + c) / 2
s = (10 + 8 + 8) / 2
s = 13
Now, we can use Heron's formula to find the area of the triangle:
Area = √[s(s - a)(s - b)(s - c)]
Area = √[13(13 - 10)(13 - 8)(13 - 8)]
Area = √[13(3)(5)(5)]
Area = √[975]
Area ≈ 31.304
Therefore, the correct surface area of the triangle is approximately 31.304 square inches. None of the provided options are correct (224 cm, 384 cm, 144 cm).