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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 which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.
What is the hypotenuse of an equalateral triangle with 12 foot sides?
If you divide the equilateral triangle into two right angle triangles then the hypotenuse will be 12 feet.
What type of triangle has two equal sides and a right angle?
An Isosceles right triangle. If the length of either of the two sides is N then the hypotenuse is N times the square root of 2. an isosceles right triangle can not be an equilateral triangle since the hypotenuse can not be the same size as the other two sides..
How is a triangle the same as a equilateral triangle?
A triangle is the same as a equilateral triangle because a equilateral triangle is a triangle but it is congruent on all sides
What is an equilateral triangle obtuse triangle?
An oxymoron. An equilateral triangle cannot be obtuse; an obtuse triangle cannot be equilateral.
Example problems in right plane triangle?
Here are a couple Find the altitude of a triangle with base 3 and hypotenuse 5. Find the altitude of an equilateral triangle with each side to 2
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 which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.
What is the hypotenuse of an equalateral triangle with 12 foot sides?
If you divide the equilateral triangle into two right angle triangles then the hypotenuse will be 12 feet.
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.
Can you draw an right equilatteral triangle?
No a right triangle cannot be equilateral, the hypotenuse will always be larger than the sides.
Do all triangles have 2 legs and one hypotenuse EXPLAIN?
Nope. The hypotenuse is defined as the side of a right triangle opposite the right angle. a 45 - 45 -90 right triangle would, for instance, have two legs and a hypotenuse. However an equilateral triangle would not.
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 hypotenuse of triangle?
If it has no right angles, it is not a right triangle and therefore you cannot name a hypotenuse of that triangle. Which implies you cannot find that side's measure.
Is a hypotenuse equal to the sides of an equalateral triangle?
Yes. The equilateral triangle will have all sides with the same length. An equilateral triangle will ALSO be a equiangular, with each angle being 60 degrees. This fact does not extend to other polygons. An equilateral quadrilateral is a rhombus, while an equiangular quadrilateral is a square.
Find the hypotenuse of a triangle the legs are 35 and 68?
The hypotenuse of a triangle with legs of 35 and 68 is: 76.48
What are the leg lengths of a triangle with a hypotenuse of 8?
do you have an angle measure? (if it is an equilateral triangle all legs will be 8 but i don't think this applies in your case)
Can a right angle triangle ever be equilateral?
No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.
