0
What is the length of the altitude of an equilateral triangle with sides of length 6?
Wiki User
∙ 7y ago
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
Wiki User
∙ 7y ago
Add your answer:
Earn +20 pts
What is the side of an equilateral triangle if its altitude is 3?
The sides are 2*sqrt(3) units in length.
How many sides does an equilateral triangle have of equal length?
All three sides of an equilateral triangle are..."equal" in length.
What is the difference between an isoceles triangle and an equilateral triangle?
An isoceles triangle has TWO sides of equal length but an equilateral triangle has THREE sides of equal length
What type of triangle is an equilateral?
a equilateral triangle has all the sides the same length.
How do i make a hexagon out of a single equilateral triangle?
First, draw the equilateral triangle ABC, and its altitude AI. Extend the sides AB and AC in such way that the extended parts to be equal in length with the length of these sides. Extend also the altitude AI in such way that the extended part to be twice in length as the altitude length. Label their end points , started from the point C, respectively with D, K, and G. From points D, K, and G, draw the parallel lines to BG, BC, and CD. Label their intersections respectively with E and F. A hexagon is formed, the hexagon BCDEFG, where its sides are equal in length with the length sides of the equilateral triangle ABC.
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 side of an equilateral triangle if its altitude is 3?
The sides are 2*sqrt(3) units in length.
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.
How many sides does an equilateral triangle have of equal length?
All three sides of an equilateral triangle are..."equal" in length.
A triangle with all sides the same length?
is called an equilateral triangle
What is the difference between an isoceles triangle and an equilateral triangle?
An isoceles triangle has TWO sides of equal length but an equilateral triangle has THREE sides of equal length
What type of triangle is an equilateral?
a equilateral triangle has all the sides the same length.
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)
What triangle has sides of equal length?
an equilateral triangle
An equilateral triangle is a what?
A triangle with equal length sides
What is the difference in an equilateral triangle and an isosceles?
All 3 sides of an equilateral triangle are equal in length Only 2 sides of an isosceles triangle are equal in length
How do i make a hexagon out of a single equilateral triangle?
First, draw the equilateral triangle ABC, and its altitude AI. Extend the sides AB and AC in such way that the extended parts to be equal in length with the length of these sides. Extend also the altitude AI in such way that the extended part to be twice in length as the altitude length. Label their end points , started from the point C, respectively with D, K, and G. From points D, K, and G, draw the parallel lines to BG, BC, and CD. Label their intersections respectively with E and F. A hexagon is formed, the hexagon BCDEFG, where its sides are equal in length with the length sides of the equilateral triangle ABC.
