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 is the same as that of the equilateral triangle.
You find the height by using Pythagoras' theorem and then 0.5*base*height = area.
Using Pythagoras' theorem the height of the equilateral triangle works out as about 7 cm and so with the given dimensions it would appear to be quite difficult to work out the lateral area.
Yes, but it is totally pointless since all three sides (legs) are known to be the same.
Using Pythagoras' theorem its height works out as 17.321 inches rounded to 3 decimal places
By using Pythagoras' theorem
By using Pythagoras' theorem.
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.
If all angles in a triangle are equal to 60 degrees, then the triangle is an equilateral triangle. In an equilateral triangle, all three sides are equal in length. This property is a consequence of the triangle angle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. Therefore, if each angle is 60 degrees, the total sum of the angles in the triangle is 180 degrees, satisfying the theorem.
In effect an equilateral triangle is made up of two right angle triangles joined together so use Pythagoras' theorem to find the height:- 182-92 = 243 and the square root of this will be the height of the equilateral triangle which is about 15.588 cm
9.794747317 m (with the help of Pythagoras' theorem)
its abbr. Is BPT. It is applied in equilateral triangle. For more info log on to www.wikipedia.com/thalesofmiletus
6 * sqrt(3) cm. This should be trivially obvious from the Pythagorean theorem.
By definition, both are the same. An equilangular triangle is a triangle with all three angles equivalent, while an equilateral triangle is a triangle with all three sides the same length. By geometric theorem, if all angles of a triangle are the same, then all sides are the same, and vice versa.
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 is the same as that of the equilateral triangle.
Using Pythagoras' theorem it is impossible for an equilateral triangle with equal sides of 10 inches to have a height of 7 inches.
You find the height by using Pythagoras' theorem and then 0.5*base*height = area.