It is: 11.5 cm because 0.5*11.5*16 = 92 square cm
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
Clarify what triangle side length you are looking for.
It can be any length at all. The length of one side imposes no limits at all on 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 "length" means "length of side to which the height of 14 inches is perpendicular", area = (1/2)(14)(16) = 112 square inches. (These dimensionss of a triangle are more commonly called "base" and "altitude" respectively.)
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
Clarify what triangle side length you are looking for.
No. The altitude is smaller.
It can be any length at all. The length of one side imposes no limits at all on the altitude.
Each side of the triangle is 16.16581 units in length.
Given an altitude of 12 units, an equilateral triangle has side lengths of 13.9 (13.85641) units.
Multiply the altitude by [ 2 / sqrt(3) ] to get the length of the side.[ 2 / sqrt(3) ] is about 1.1547 (rounded)
Height = sqrt(3)/2 * length of side So here, approx 4.3301 cm
With an altitude of 10 units, this triangle's sides each measure 11.55 (11.54701) units.
Prism volume = V = B x h B is base, you need to find the area of the base which is a triangle The area of a triangle is A=Bxh/2 where B is the length of a side a h is the length of the altitude associated to this side.
The length of each side is 9.2376 cm. (rounded)
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.