What is the height of an equilateral triangle with side length 6?
What is the height of an equilateral triangle with side length 6?
Answer: The height of the given equilateral triangle is 3√3 cm.
How do you find the length of a side of an equilateral triangle?
When the perimeter is given: Clearly the perimeter of an equilateral triangle is thrice the length of its side, dividing the perimeter by 3 would yield the length of the side of such a triangle. Hence the length of side of an equilateral triangle is one- third of the perimeter of the triangle.
How do you find the area of an equilateral triangle with a height of 6?
Equilateral triangle area and height
- Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2.
- Using trigonometry. Let’s start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.
What is the area of a 6 cm equilateral triangle?
Thus, since s=6 cm , the area is 62√34 cm2 or 9√3 cm2 .
What is the area of an equilateral triangle with a side length of 6 inches?
9√3 inches2
Summary: The area of an equilateral triangle with a side of 6 inches is 9√3 inches2.
What is the length of the altitude of an equilateral triangle whose side has a length of 8?
Summary: The altitude of an equilateral triangle of side 8 cm is 4√3 cm.
What is the length of the altitude in equilateral triangle ABC?
Altitudes of a Triangles Formulas
| Triangle Type | Altitude Formula |
|---|---|
| Equilateral Triangle | h = (½) × √3 × s |
| Isosceles Triangle | h =√(a2−b2⁄2) |
| Right Triangle | h =√(xy) |
What is the length of an altitude of an equilateral triangle of side 8 cm?
The altitude of an equilateral triangle of side 8 cm is 4√3 cm.
What is the area of the given side of 6 cm?
The area of the square with sides of length 6 cm is 36 cm2.
What is the area of a equiangular triangle?
The area of an equilateral triangle is √3 a2/ 4.
