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The altitude of an equilateral triangle is (√3)/2*a. where 'a' is the side of the triangle. It can be just find by giving a perpendicular to the base of the triangle, the base of the triangle become a/2 and one side is a. so by applying Pythagoras theorem we will get the desired formula.
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Can the median of an equilateral triangle be longer than its altitude?
For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.
What is the length of the altitude of an equilateral triangle whose side has a length of four?
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)
Find the length of an altitude of an equilateral triangle with sides that measure 11.31 m?
9.794747317 m (with the help of Pythagoras' theorem)
A triangle with all sides the same length?
is called an equilateral triangle
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
Is the altitude of an equilateral triangle equal to a side length?
No. The altitude is smaller.
What is the length of a side of an equilateral triangle that has a altitude of 12?
Given an altitude of 12 units, an equilateral triangle has side lengths of 13.9 (13.85641) units.
Can the median of an equilateral triangle be longer than its altitude?
For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.
If the altitude of an equilateral triangle is 14 how long is each side of the triangle?
Each side of the triangle is 16.16581 units in length.
What is the length of altitudeof an equilateral triangle with sides of 8?
Given side lengths of 8 units, an equilateral triangle will have an altitude of 7 (6.9282) units.
What is the length of each side of an equilateral triangle when the altitude is 10?
With an altitude of 10 units, this triangle's sides each measure 11.55 (11.54701) units.
What is the side of an equilateral triangle if its altitude is 3?
The sides are 2*sqrt(3) units in length.
What is the area of an equilateral triangle whose altitude is 4?
It is double the length of the base, in square units.
How do you find the length of a side of an equilateral triangle when you know the length of the altitude?
Multiply the altitude by [ 2 / sqrt(3) ] to get the length of the side.[ 2 / sqrt(3) ] is about 1.1547 (rounded)
If the side length of an equilateral triangle is 5 centimeters what is the length of the altitude of the triangle?
Height = sqrt(3)/2 * length of side So here, approx 4.3301 cm
The altitude of an equilateral triangle is 8cm . find the side?
The length of each side is 9.2376 cm. (rounded)
What is the length of the altitude of an equilateral triangle with sides of length 6?
The altitude forms a right angle triangle with half the side length and one side as the hypotenuse. Using Pythagoras: (½side)² + altitude² = side² → altitude² = side² - ¼side² → altitude² = ¾side² → altitude = (√3)/2 × side → altitude = (√3)/2 × 6 = 3√3 ≈ 5.2
