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In a right-angled triangle, the hypotenuse is the longest side, opposite the right-angle. There are two ways of finding the length of the hypotenuse using mathematics: Pythagoras' theorem or trigonometry, but for both you need either two other lengths or an angle.
For Pythagoras' theorem, you need the other two lengths. The theorem is a2+b2=c2, or the square root of the sum of two angles squared, where c=the hypotenuse. Let's say that one length is 4.8cm and the other 4cm. 4.82+42=6.22. So, the answer is 6.2cm.
If you have one side and one angle, use trigonometry. You will need a calculator for this. Each side of the right-angled triangle has a name corresponding to the positioning of the angle given. The opposite is the side opposite the given angle, the adjacent is the side with the right-angle and the given angle on it, and the hypotenuse is the longest side or the side opposite the right-angle. There are three formulas in trigonometry: sin, cos and tan. Sin is the opposite/hypotenuse; cos is the adjacent/hypotenuse; and tan is the opposite/adjacent. As we are trying to find the hypotenuse, we already have either the opposite or the adjacent, and one angle. Let's say that our angle is 50o and we have the adjacent side, and that is 4cm. So, we have the adjacent and want to know the hypotenuse. The formula with both the adjacent and the hypotenuse in is cos. So, Cos(50o)=4/x where x=hypotenuse. We can single out the x by swapping it with the Cos(50o), so x=4/Cos(50o) -> x=6.22289530744164. This is the length of the hypotenuse, and is more accurate that Pythagoras' theorem.
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Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.?
Using Pythagoras's theorem the hypotenuse is the square root of 2 units of length
How do you find the hypotenuse when only one length is given?
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.
The length of the hypotenuse of a right triangle with legs of 7 cm and 24 cm?
The length of the hypotenuse of a right triangle with legs of 7 cm and 24 cm is: 25 cm
How do I find the length of the hypotenuse with one leg equalling 12 and the opposite angle being 30 degrees?
Rearrange the sine ratio of sine = opposite/hypotenuse: hypotenuse = opposite/sine hypotenuse = 12/sine 30 degrees = 24 Therefore the hypotenuse is 24 units in length.
How can you find the base of a right triangle when you have the height and hypotenuse?
The square of the length of the base plus the square of the length of the height will equal the square of the length of the hypotenuse of your right triangle, per Pythagoras. Square the hypotenuse, subtract the square of the height, and then find the positive square root of that and you'll have the base of your right triangle.
Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length?
Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.
Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.?
Using Pythagoras's theorem the hypotenuse is the square root of 2 units of length
How do you find the hypotenuse when only one length is given?
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.
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
The length of the hypotenuse of a right triangle with legs of 7 cm and 24 cm?
The length of the hypotenuse of a right triangle with legs of 7 cm and 24 cm is: 25 cm
How do I find the length of the hypotenuse with one leg equalling 12 and the opposite angle being 30 degrees?
Rearrange the sine ratio of sine = opposite/hypotenuse: hypotenuse = opposite/sine hypotenuse = 12/sine 30 degrees = 24 Therefore the hypotenuse is 24 units in length.
Find hypotenuse only using opposite and angle?
In a right angles triangle the sides are named the hypotenuse (the side opposite the right angle) and the other two sides are called the adjacent and the opposite sides. 1) The sine of an angle = length of the opposite side ÷ length of the hypotenuse. 2) The cosine of an angle = length of the adjacent side ÷ length of the hypotenuse. Using 1) The length of the hypotenuse = length of the opposite side ÷ the sine of the angle. Using tables or a calculator obtain the sine of the angle and divide this into the length of the opposite side. The result will be the length of the hypotenuse.
Can you find the length of the sides of a right triangle knowing only the hypotenuse?
No.
How can you find the base of a right triangle when you have the height and hypotenuse?
The square of the length of the base plus the square of the length of the height will equal the square of the length of the hypotenuse of your right triangle, per Pythagoras. Square the hypotenuse, subtract the square of the height, and then find the positive square root of that and you'll have the base of your right triangle.
How do you find the length of the sides of a right triangle given the hypotenuse?
You can't. You need some more information. If you only know the length of the hypotenuse, you can draw an infinite number of different right triangles that all have the same hypotenuse.
What is the length of the longest side in an isosceles right triangle?
The longest length would be the hypotenuse. You can use SOHCAHTOA to find the length.
Find the legth of the hypotenuse of a right triangle with legs of length 9.0 and 12.0?
15 units in length
