Well, what does an equilateral triangle tell you? Each of its angles are 60 degrees. If you split an equilateral triangle in half, you will have two right triangles, which you use the Pythagorean Theorem to solve. You know the base (a), 32cm divided by 2 equaling 16cm (because you split the equilateral triangle in half). You know the hypotenuse (c), 32cm. To find the height (b), you will need to use the Pythagorean Theorem: c2 = a2 + b2 for one of the right triangles. Now, fill in the known information.
c2 = a2 + b2
322 = 162 + b2
322 - 162 = b2
1024 - 256 = b2
768 = b2
Take the square root (sqrt) of both sides.
sqrt 768 = sqrt b2
16√3 centimeters, or 27.71 cm.
No. 1/2 base squared + height squared=side squared on an equilateral triangle.
8.7
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.
Height of an equilateral triangle = √3/2 x side = √3/2 x 20 = 10√3 ≈ 17.32
It is the height of the perpendicular line from its vertex to its base
No. 1/2 base squared + height squared=side squared on an equilateral triangle.
8.7
Height = sqrt(3)/2 * length of side So here, approx 4.3301 cm
An equilateral triangle with a height of 20 has a base of 23.1 (23.09401), not 15. If the base is 15 then the height will be 13 (12.99038).
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.
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.
2
Area = 1443.376 cm2
Height of an equilateral triangle = √3 / 2 x side = (√3 / 2 ) x 3 = 2.598 cm.
Height of an equilateral triangle = √3/2 x side = √3/2 x 20 = 10√3 ≈ 17.32
It is the height of the perpendicular line from its vertex to its base
It is two-thirds of the triangle's height.