# What is Height in an equilateral triangle?

let the side be x...the height is (sq.root of 3)/2 multiplied by x

### What is the height of an equilateral triangle with a length of x?

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.

### If each side of the equilateral triangle measures 9c find the height of the triangle?

The area of a triangle is one-half the product of the triangle's base and height. The height of an equilateral triangle is the distance from one vertex along the perpendicular bisector line of the opposite side. This line divides the equilateral triangle into two right triangles, each with a hypotenuse of 9c and a base of (9/2)c. From the Pythagorean theorem, the height must be the square root of {(9c)2 - [(9/2)c]}, and this height…

### How do you find the height of an equilateral triangle if you have the length of the hypotenuse?

An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from…

### What is the area of an equilateral triangle with sides of 10 inches and height of 7 inches?

An equilateral triangle with sides of 10 inches cannot have a height of 7 inches. An equilateral triangle with sides of 10 inches has a height of 8.66 inches or an equilateral triangle with a height of 7 inches has sides of 8.08 inches. Decide which triangle you want and then resubmit your question.