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If that's all you know, then you can't. Whatever the length of the hypotenuse is, there are
an 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 to
the length of the hypotenuse:

-- the length of one leg

-- the size of either acute angle

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Q: How do you find the legs of a right triangle if you know the hypotenuse?
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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.


How do you find the angle opposite of the hypotenuse of a triangle with all three sides known?

The only triangle that has a hypotenuse is a right-triangle. The hypotenuse is the side opposite the right angle, so the angle is always 90 degrees. In this case, if you're just finding the angle then you don't need to know what the side lengths are.


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.


How are side angle side triangles and Hypotenuse leg alike?

"Hypotenuse-leg" is not necessarily the right-triangle version of "side-angle-side". It's the right-triangle version of "side-side-side", because if you know that it's a right triangle, and you know the hypotenuse and a leg, then you can calculate the length of the other leg. If you want to work with "side-angle-side", and you know the hypotenuse and a leg, then you can find the angle between them, because it's the angle whose cosine is (the known leg) divided by (the hypotenuse), and you can look it up.


How do you know if a triangle is a right triangle using the pythagorean therom -?

Pythagoras' theorem states that for any right angle triangle the square of its hypotenuse is equal to the sum of its squared sides as in the following formula:- a squared + b squared = c squared whereas a and b are the sides of the triangle with c being its hypotenuse

Related questions

How do you find the two shorter sides of a triangle when all you know if the hypotenuse and nothing else?

If it has an hypotenuse then it is a right angle triangle and if you know its angles then use trigonometry to find its other two sides.


How do you find the base leg of a right triangle if you know the hypotenuse and one acute angle?

By using trigonometry that is applicable to a right angle triangle.


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.


How do you find the angle opposite of the hypotenuse of a triangle with all three sides known?

The only triangle that has a hypotenuse is a right-triangle. The hypotenuse is the side opposite the right angle, so the angle is always 90 degrees. In this case, if you're just finding the angle then you don't need to know what the side lengths are.


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.


Where can you find the hypotenuse of a right triangle?

the hypotenuse is the side of the right triangle that is opposite of the 90 degree angle. To figure out the length of the hypotenuse you can use a2 + b2 = c2 (if you know the length of the other two sides) If you don't that you can probably use the sine or the cosine equation. (as long as you know at least one of the angles)


How do you find the other 2 sides of the triangle if you know the hypotenuse?

You need more information unless it's a right triangle and a common pathagorean triangle, such as a 90 degree angle with a hypotenuse of 5 would have legs of 3 and 4.


How are side angle side triangles and Hypotenuse leg alike?

"Hypotenuse-leg" is not necessarily the right-triangle version of "side-angle-side". It's the right-triangle version of "side-side-side", because if you know that it's a right triangle, and you know the hypotenuse and a leg, then you can calculate the length of the other leg. If you want to work with "side-angle-side", and you know the hypotenuse and a leg, then you can find the angle between them, because it's the angle whose cosine is (the known leg) divided by (the hypotenuse), and you can look it up.


I have a right angled triangle which i know all the angles of. I have the length of one side which is adjacent to the right angle. How can I work out the length of the hypotenuse and the other side?

Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.


How do you calculate hypoteneous of a right angled triangle?

The hypotenuse is the longest side of the right triangle. To calculate the hypotenuse of a right triangle, you would square the sides, add them up, and find the square root of the sum. When you find the square root of the sum, that will be the hypotenuse of your right triangle. For instance, let's say you are given a triangle. We'll call it Triangle ABC. In the triangle, you have three sides, Side A, Side B, and Side C. Sides A and B will represent the two known legs, also the shortest legs. Side C will represent the hypotenuse, the side we're trying to find. We know that Side A is 5km and that Side B is 12km. Now we just have to calculate the hypotenuse of the right triangle. To do that you would square both sides and add them, first. Like this: (5 x 5) + (12 x 12) which is the same as saying 25 + 144. Now you find the sum, which is 169. Now, there is one last step, finding the square root of the sum. Our square root would be 13, because we know that 13 x 13=169. So now you have found the missing side, the hypotenuse of the right triangle (Side C) which is 13km. And that's how you find the hypotenuse of a right triangle. Hope I could help!


How do you know that one of the sides of a right triangle is the hypotenuse?

It is opposite the right angle and it is the longest side.


How do you find the hypotenuse of a right triangle when you don't know the other two sides?

If you know the 2 other angles, apart from the right angle you can calulate the other 2 sides.