Maths
posted by Jess D .
The altitude of an equilateral triangle is 12cm. Find the length of the sides.

You know the angles of an equilateral triangle are 60º each.
The altitude will form a rightangles triangle with angles 30,60,90º
the lengths of those sides could be 1,√3, and 2
so by ratios:
x/2 = 12/√3
x = 24/√3 = 13.856
or
sin 60 = 12/x
x = 12/sin60 = 13.856
Respond to this Question
Similar Questions

Algebra
The perimeter of an equilateral triangle is 7 in. more than the perimeter of a square. The side of the triangle is 5 in. longer than the side of the square. Find the length of each side of the triangle. (Note: An equilateral triangle … 
MATHS,7TH CLASS
A RIGHT ANGLED TRIANGLE ABC IS GIVEN,WHERE AB IS 5CM,AC IS 12CM,BC IS 13CM,AD IS AN ALTITUDE FROM A TO BC,FIND THE AREA OF THE TRIANGLE AND FIND AD ALSO. 
math
one side of an equilateral triangle is 42cm.find the length of an altitude of the triangle. 
maths
the ratio of the length of sides of equilateral triangle to the height is ? 
Maths
An equilateral triangle with side length 33 is divided into 33^2 smaller unit equilateral triangles each with side 1, forming a triangular lattice. We color each segment of length 1 either Red, Blue or Green, subject to the condition … 
Maths
An equilateral triangle with side length 33 is divided into 33^2 smaller unit equilateral triangles each with side 1, forming a triangular lattice. We color each segment of length 1 either Red, Blue or Green, subject to the condition … 
Geometry
Find the area of each equilateral triangle. The triangle has 12cm sides. The triangle has 10in altitudes. 
math
The perimeter of a square piece of land is twice the perimeter of an equilateral triangle. (an equilateral triangle has three equal sides.) If one side of the square is 45 feet, find the length of the sides of the triangle. 2x + 3 … 
maths
an equilateral triangle is inscribed in a circle of radius 40cm. what is the length of the sides of the triangle 
Algebra 2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the sides …