0
What is the length of the altitude of an equilateral triangle whose side has a length of four?
Wiki User
∙ 12y ago
The altitude/height of an equilateral triangle can be calculated by taking the perpendicular bisector of any side. This line will bisect its opposite angle forming two congruent right angled triangles.
The side length of the original equilateral triangle is the hypotenuse and the short leg of right angled triangle is half the hypotenuse.
By Pythagoras' Theorem : 42 = 22 + L2.........where L is the length of the altitude.
L2 = 42 - 22 = 16 - 4 = 12
L = √12 = 2√3 = 3.464 (3dp)
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
What is the length of an altitude of an equilateral triangle whose side length is 7 square root of 3?
Using Pythagoras' theorem it works out as 10.5 units of measurement
The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches Find the length of a side of the regular hexagon?
The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.Click once to select an item at the bottom of the problem.
What is the perimeter of an equilateral triangle whose side is 7cm?
It is: 3*7 = 21cm
What is the perimeter of an equilateral triangle whose sides measure 7.5 centimeters?
22.5 cm
Can a triangle be both acute and equilateral?
It would help to know the definitions of acute and equilateral.An acute triangle is one whose angles are all less than 90o.An equilateral triangle is one whose sides are all the same, but that also means the angles will all be the same (60o)So, every equilateral triangle will be acute.Yes, a triangle can be both acute and equilateral.
What is the area of an equilateral triangle whose altitude is 4?
It is double the length of the base, in square units.
What a equilateral triangle?
An equilateral triangle is one whose three sides are the same length.
What is the length of an altitude of an equilateral triangle whose side length is 7 square root of 3?
Using Pythagoras' theorem it works out as 10.5 units of measurement
What is equelatiral triangle?
If equelatiral is meant to be equilateral, then it is a triangle whose three sides are of equal length.
What is the length of an altitude of an equilateral triangle whose side length is 8 square root of 3?
If the length of a side of an equilateral triangle = 8√3, then the altitude bisects the base forming a right angled triangle. The side measuring 8√3 is the hypotenuse, the altitude (A) is one leg and half the base length is the second leg. By Pythagoras, (8√3)2 = (4√3)2 + A2 : A2 = (64 x 3) - (16 x 3) = 48 x 3 = 144 Therefore the altitude, A = √144 = 12
What is the legth of an altitude of an equilateral triangle whose side measures 6?
Using Pythagoras: 62+32 = 45 and the square root of this is the altitude
What is the name of the 3 sided shape whose sides are the same length?
Equilateral triangle.
What is an equilateral?
An equilateral is a polygon whose sides are all of equal length, most commonly used to refer to an equilateral triangle.
What is a right equilateral triangle?
A right equilateral triangle is one that has a right angle whose arms are of equal length. Each of the other two angles must be 45 degrees.
A triangle whose sides are congruent?
An equilateral triangle
Is the altitude of a triangle is a segment whose endpoints are a vertex of a triangle and the midpoints of the side opposite the vertex?
Yes but only if it's an equilateral or an isosceles triangle otherwise it's the vertical perpendicular height
What all triangles come under the category of equilateral triangle?
They are triangles all of whose sides are of the same length.
