What is the altitude of an equilateral triangle of side 8 cm?
What is the altitude of an equilateral triangle of side 8 cm?
Hence, altitude of an equilateral triangle is 4√3 cm.
What is the length of the altitude of an equilateral triangle of side 2 cm?
Hence, the length of the altitude of an equilateral triangle of side 2a cm is √3a cm.
What is the length of an altitude of an equilateral triangle of side A units?
Therefore for an equilateral triangle having each side equal to a, we get a length of an altitude as √3a2 thus option b) is the correct answer.
What is the length of altitude of an equilateral ∆?
Answer: Length of altitude of the triangle is 2√3 cm. Step-by-step explanation: A median( from any point of the triangle ) divides the triangle into two equal triangles( thus, they are congruent to each other ).
What is the length of the height of an equilateral triangle of side A?
Equilateral triangle area and height and the equation for the height of equilateral triangle look as follows: h = a * √3 / 2 , where a is a side of the triangle.
How do you find the length of one side of an equilateral triangle?
Explanation: Since each of this triangle’s sides is equal in length, it is equilateral. To find the length of one side of an equilateral triangle, we need to divide the perimeter by .
How do you find the height of a triangle if all sides are known?
Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!
How do you find the diagonals of a equilateral triangle?
To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula a2 + b2 = c2, where a and b are the lengths of the perpendicular sides and c is the length of the hypotenuse. Then solve for c.
How do you find the area of an equilateral triangle without the height?
2 Answers. Johnson Z. To find the area of an equilateral triangle, you need to calculate the length of half the side length and substitute it into the Pythagorean theorem to find the height. You could also substitute it into sin60∘ , cos30∘ , tan30∘ , or tan60∘ to find the height.
Is the height the same as the base in an equilateral triangle?
Each angle in an equilateral triangle is . Use the formula for triangles in order to find the length of the height. If we were to create a triangle by drawing the height, the length of the side is , the base is , and the height is .
Why is area of equilateral triangle?
An equilateral triangle is a triangle in which all three sides are equal. Equilateral triangles also called equiangular. That means, all three internal angles are equal to each other and the only value possible is 60° each. The area of an equilateral triangle is √3 a2/ 4.
What is the side of an equilateral triangle?
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
What is the area of equilateral triangle of side 16 cm?
Description for Correct answer: Area=√34a2=√34×16×16=64√3sq.cm. =110.848 = 110.85 sq. cm.
What formula do you use for a triangle?
The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
What is the altitude of an equilateral triangle whose sides are each 16cm long?
Find the length of its altitude. Let height or altitude of the triangle is h cm. So, altitude of given triangle is 8√3 cm.
What is the height of an equilateral triangle with sides that are 12 cm?
The height of an equilateral triangle can be found using the formula h = √3 / 2 × a. Therefore, when we plug in 12 for a, we get that the height of the equilateral triangle is 10.4 centimeters.
How do you find the side of an equilateral triangle with the altitude?
Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.
What is the height of a triangle?
A triangle’s height is the length of a perpendicular line segment originating on a side and intersecting the opposite angle. In an equilateral triangle, like △SUN △ S U N below, each height is the line segment that splits a side in half and is also an angle bisector of the opposite angle.
What are the angle measures of the triangle?
In a Euclidean space, the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °, π radians, two right angles, or a half-turn.
What is the measure of angle ABC?
Angle ABC is a straight angle, or 180°.