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If each side of an equilateral triangle is 9 cm and you must find the height how would you solve in pythagorean theorem?
Wiki User
∙ 6y ago
Divide the base in half and draw the median from the apex. This median is also the altitude and so its length is the required height. Also, since it is the altitude, it forms a right angled triangle. Using Pythagoras on this triangle, the height is 9*sqrt(3)/2.
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoUsing Pythagoras' theorem: 9^2 -4.5^2 = 60.75 and its square root is 7.794 cm rounded to 3 decimal places which is the height of the equilateral triangle
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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 is the same as that of the equilateral triangle.
How do you find the height of a triangle with a base of 16meters and the side that is not the height 18meters?
If it is a right triangle, use the Pythagorean theorem. If it is iscossolese or scalene, draw line down middle, use pythagorean theorem to solve for missing side.
How do you work out the slant height of a cone?
The slant height is the hypotenuse of the right triangle formed by the height of the cone and the radius of the base. Use the Pythagorean theorem. The Pythagorean theorem (radius)2 + (perp. height)2 = (slant height)2
What does the pythagoerean theorem?
the Pythagorean theorem helps find the value of the longest side in a right triangle if you know the value of the base and the height.
Each side of an equilateral triangle is 32 centimeters What is the approximate height h of the triangle?
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 + b2322 = 162 + b2322 - 162 = b21024 - 256 = b2768 = b2Take the square root (sqrt) of both sides.sqrt 768 = sqrt b216√3 centimeters, or 27.71 cm.
How do you find the height of an equilateral triangle?
By using Pythagoras' theorem
How do you find height of an equilateral triangle?
By using Pythagoras' theorem.
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 is the same as that of the equilateral triangle.
How do you find the height of a triangle with a base of 16meters and the side that is not the height 18meters?
If it is a right triangle, use the Pythagorean theorem. If it is iscossolese or scalene, draw line down middle, use pythagorean theorem to solve for missing side.
How do you work out the slant height of a cone?
The slant height is the hypotenuse of the right triangle formed by the height of the cone and the radius of the base. Use the Pythagorean theorem. The Pythagorean theorem (radius)2 + (perp. height)2 = (slant height)2
What does the pythagoerean theorem?
the Pythagorean theorem helps find the value of the longest side in a right triangle if you know the value of the base and the height.
How do you find the perpendicular height of a triangle?
If it is a right triangle, you can use the Pythagorean theorem to find the height since it will be on of the sides. If it is an equilateral triangle, you can break it up into two right triangles and use the part above. If it is an oblique triangle, you use the angles and some trigonometry to find it. Since the area is 1/2 b x h, if you are given the area, you can solve for the height.
What is the height of an equilateral triangle with the side lengths of 8 inches?
Equilateral triangle means that all sides are equal in length. When it is asked for a height of equilateral triangle it refers to vertical distance from highest point of the triangle to the lowest(Right in the middle). So we got two known and one unknown which tells us that we can use Pythagorean Theorem C2=A2 + B2 A=4 B=? C=8 Solve for B and you will get answer Square root of 48.
How do you find the area of an equilateral triangle without knowing the height?
You find the height by using Pythagoras' theorem and then 0.5*base*height = area.
Each side of an equilateral triangle is 32 centimeters What is the approximate height h of the triangle?
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 + b2322 = 162 + b2322 - 162 = b21024 - 256 = b2768 = b2Take the square root (sqrt) of both sides.sqrt 768 = sqrt b216√3 centimeters, or 27.71 cm.
What is the height of an equilateral triangle with the side lengths of 18 center meters?
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
How do you calculate height of triangle if base is 2 and hypotenuse is 3?
Since the triangle has a hypotenuse, it must be a right triangle. Therefore, the Pythagorean theorem applies, and the height of the triangle must be sq rt (32 - 22).
