The hypothnuse is from the Pythagorean theorem: side squared + side squared = hypothenuse squared
So
9^2 + 40^2 = 81 + 1600 = 1681
hypothenuse = square root 1681 = 41 feet
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Well, there are 3 sides, and if you are given the length of 2 of the 3 sides, you can calculate the other one. The longest side of the triangle is called the "Hypotenuse" and to calculate the hypotenuse you take the lengths of the other sides, square each of them, then add. Take the square root of the answer and that is the length of the hypotenuse. Now if you have the length of the hypotenuse and either of the other two sides, take the length of the hypotenuse and the length of the other known side, square each of them, add them, then the square root of the sum will equal the remaining side.
If the only information you have is the length of one side of a triangle, there are an infinite number of triangles having that length. Since the hypotenuse is defined to be "The side opposite the right angle in a plane right triangle", you will need the length of the other side to find the hypotenuse using the Pythagorean theorem. Alternatively you need to know the other angles. Then you can use the appropriate trig function to find the length of the hypotenuse.
One other angle or the length of one other side must also be known.
There is a famous theorem that you use to solve this problem, namely the Pythagorean theorem which says that the square on the hypotenuse is equal to the sum of the squares on the opposite sides. (The hypotenuse is the longest side; the other sides are commonly called legs.) If you know the hypotenuse and one leg you can find the other leg by simple algebra. Just subtract the square of the leg you know from the square of the hypotenuse and take the square root of this difference. Bingo! You have your answer.
Using the quadratic equation formula and Pythagoras' theorem the length of the hypotenuse works out as 67.5 mm which is 6.75 cm
Well, there are 3 sides, and if you are given the length of 2 of the 3 sides, you can calculate the other one. The longest side of the triangle is called the "Hypotenuse" and to calculate the hypotenuse you take the lengths of the other sides, square each of them, then add. Take the square root of the answer and that is the length of the hypotenuse. Now if you have the length of the hypotenuse and either of the other two sides, take the length of the hypotenuse and the length of the other known side, square each of them, add them, then the square root of the sum will equal the remaining side.
Knowing the length of the hypotenuse doesn't tell you the length of either adjacent side. You also need to know at least one other piece of information, like the other side, or an angle.
If the only information you have is the length of one side of a triangle, there are an infinite number of triangles having that length. Since the hypotenuse is defined to be "The side opposite the right angle in a plane right triangle", you will need the length of the other side to find the hypotenuse using the Pythagorean theorem. Alternatively you need to know the other angles. Then you can use the appropriate trig function to find the length of the hypotenuse.
Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.
One other angle or the length of one other side must also be known.
A right triangle only has two legs, the third side is called the hypotenuse . The square of the length of the hypotenuse is equal to the sum of the squares of the two legs. The square root of the difference of the square of the hypotenuse and the square of one leg is equal to the length of the other leg.
They are such that their squares sum to 6.72 = 44.89 ie if one side is of length x with 0 < x < 6.7 the other side is of length √(44.89 - x2)
To find the length of the hypotenuse on a triangle, you have to use the Pythogoras Theoram. using the equation a square + b square = c square. you cannot find it without using the pythagoras theoram
Sure, place a triangle's hypotenuse (longest side) on the other triangle's hypotenuse, that will give either a square or a rectangle. Then place the square on one end of the rectangle. For this to work though, the length of the square's side HAS to equal the length of the triangles hypotenuses, and likewise each triangle's hypotenuse much equal the length of a side of the square. Hope this is clear.
If one side of a right angled triangle is 32 and the other side is 43 the hypotenuse is 53.6
There is a famous theorem that you use to solve this problem, namely the Pythagorean theorem which says that the square on the hypotenuse is equal to the sum of the squares on the opposite sides. (The hypotenuse is the longest side; the other sides are commonly called legs.) If you know the hypotenuse and one leg you can find the other leg by simple algebra. Just subtract the square of the leg you know from the square of the hypotenuse and take the square root of this difference. Bingo! You have your answer.
The length of the third side is 20 cm