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Cutting the equilateral triangle in half results in two right triangles each with a base of length x/2, and angles of 30, 60, and 90 degrees. Using the lengths of sides of a 30-60-90 triangle it can be found that the height is (x/2)√(3), which is the same as the height of the equilateral triangle.
So the height of the equilateral triangle is x√(3) / 2.
What else can I help you with?
If x be the length of a median of an equilateral triangle then its area is?
30
What is the perimeter of an equilateral triangle with an altitude of 15?
An equilateral triangle has 3 equal interior angles each of 60 degrees. There are two right angled triangles in an equilateral triangle. So we can use trigonometry to find the length of one side of the equilateral triangle then multiply this by 3 to find its perimeter. Hypotenuse (which is one side of the equilateral) = 15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423 Perimeter = 51.96152423 units.
What is the equation for the volume of a triangular prism?
The area of the cross section (the triangle) muliplied by the length of the prism. Area of triangle= 0.5 x base x height Then mulitply by the length the prism goes back
Area of a triangle base of 10 and a height of 15?
The area of a triangle is (1/2) x (length of the base) x (height of the triangle). You ought to be able to handle it from this point.
What is the altitude of an equilateral triangle if its perimeter is 15?
the height is 4.33 units cos 30 = .866 15 / 3 = 5 5 x .866 = 4.33
