Yes.
Use the Hero's formula: Let s = (a + b + c)/2. Then the area of the triangle equals√[s(s - a)(s - b)(s - c)], where a, b, and c denote the sides of the triangle.
No, the formula is far from simple - requiring elliptical integrals.
Divide the polygon into triangles. Calculate the areas of the triangles and then sum these.
Yes, it is true that the surface area formula for a right cone cannot be directly applied to an oblique cone. While both have a circular base and a slant height, the lack of a perpendicular height in an oblique cone affects the calculations for lateral surface area and total surface area. To find the surface area of an oblique cone, you must account for its specific geometry, typically involving more complex calculations.
half of the base multipled by the height
False. The surface area formula for a right cone is not the same as the surface area formula for an oblique cone.
Heron's formula can be derived by dividing a triangle into two right triangles and applying the Pythagorean theorem to each. This allows for the expression of the area of a triangle in terms of its side lengths, which eventually leads to Heron's formula.
Use the Hero's formula: Let s = (a + b + c)/2. Then the area of the triangle equals√[s(s - a)(s - b)(s - c)], where a, b, and c denote the sides of the triangle.
The title of the formula is "Formula for the Area of a Triangle". No discrimination is expressed or implied.
No, the formula is far from simple - requiring elliptical integrals.
True. This is because the slant height of an oblique cone cannot be defined.
Divide the polygon into triangles. Calculate the areas of the triangles and then sum these.
Yes, it is true that the surface area formula for a right cone cannot be directly applied to an oblique cone. While both have a circular base and a slant height, the lack of a perpendicular height in an oblique cone affects the calculations for lateral surface area and total surface area. To find the surface area of an oblique cone, you must account for its specific geometry, typically involving more complex calculations.
Area of the right section x Length of the lateral edge
half of the base multipled by the height
A=1/2 base x height
Half of the base times height.