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.
Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.
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.
Using Pythagoras's theorem the hypotenuse is the square root of 2 units of length
That's a perfect time to recall and apply the Pythagorean Theorem:C2 = A2 + B2There is absolutely no finer way to find the length of the hypotenusewhen you know the length of the legs.
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.
The length of the hypotenuse of a right triangle with legs of 7 cm and 24 cm is: 25 cm
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.
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.
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.
The longest length would be the hypotenuse. You can use SOHCAHTOA to find the length.
The median to the hypotenuse of a right triangle that is 12 inches in length is 6 inches.
15 units in length
the length of the hypotenuse is 10.63
Use Pythagorean Theorem: 32+42 = 25 (the hypotenuse squared) The square root of 25 is 5. Length of the hypotenuse = 5 units
No; the tangent ratio only deals with the lengths of the opposite side and adjacent side. You can square the two sides and add them together, then find the square root of the sum to find the length of the hypotenuse.
It is a right angle triangle and by using Pythagoras' theorem the length of its hypotenuse is 10 feet.
Yes. If c is the length of the hypotenuse, and alpha is the angle between the hypotenuse and the base. If we say a is the length of the side opposite angle alpha and b is the length of the adjacent side, then the lengths a and b are as follows: a=h*sin(alpha) b=h*cos(alpha)
If that's all you know, then you can't. Whatever the length of the hypotenuse is, there arean infinite number of right triangles that all have the same length hypotenuse.In order to define one unique right triangle, you need to know one of the following in addition tothe length of the hypotenuse:-- the length of one leg-- the size of either acute angle
If it's a right angle triangle and an acute angle plus the length of a leg is given then use trigonometry to find the hypotenuse.
The length of the hypotenuse is a²+b ²=c ² assuming that a and b are the other 2 sides.
The length of the hypotenuse is: 10
If you know one side (s) and the opposite angle (a) then the hypotenuse = s/sin a...
The hypotenuse is: 122 meters.
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two sides.