0
Suppose the sides of the triangle are 2x.
Drop a perpendicular bisector from the apex to the base. Now consider the half-triangle formed.
The hypotenuse is one of the sides of the original triangle, so 2x in length.
The base is half the side of the original traiangle, so x in length.
So, by Pythagoras, the height2 is (2x)2 - x2 = 3*x2
So height = x*sqrt(3)
Then area of the whole traiangle = base*height/2 = 2x*x*sqrt(3)/2
=x2*sqrt(3)
This is given as 36*radical 3 so x2 = 36 ie x = 6
So the sides, = 2x = 12 units.
What else can I help you with?
What is the area of an equilateral triangle with sides 15?
225(radical "3")/4
What is equal to the area of an equilateral triangle whose perimeter is 36 inches?
62.354 inches2
What is the area of an equilateral triangle whose sides are each 6cm?
The area is: 15.6 (15.58846) square inches.
What is the area of an equilateral triangle whose altitude is 4?
It is double the length of the base, in square units.
An equilateral triangle and a square have equal perimeters what is the ratio of the area of the triangle to the area of the square?
If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
What is the area of an equilateral triangle with sides 15?
225(radical "3")/4
What is the area of an equilateral triangle whose base is 14?
84.87
What is equal to the area of an equilateral triangle whose perimeter is 36 inches?
62.354 inches2
What is the area of an equilateral triangle whose sides are each 6cm?
The area is: 15.6 (15.58846) square inches.
What is the area of an equilateral triangle whose altitude is 4?
It is double the length of the base, in square units.
What is the perimeter of an equilateral triangle whose area is 13261.014 square cm?
Approx 525 cm.
FORMULA- area of equilateral triangle?
Area of Equilateral Triangle A= S2 * (Root 3)/4, where A= Area of the triangle S= Side of the triangle.
What is the volume of an equilateral triangle?
First your question should ask "What is the area of an equilateral triangle". What you're talking about is a flat object not a 3d object (triangle is 2d). s=side measurement Rad means radical. (s^2 *Rad(3))/4
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.
An equilateral triangle and a square have equal perimeters what is the ratio of the area of the triangle to the area of the square?
If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
What is the perimeter and area of an equilateral triangle with a side of 8?
Perimeter of equilateral triangle: 24 units Area of equilateral triangle: 27.713 square units rounded to three decimal places
What is the voume of equilateral triangle?
A triangle has area, not volume.
