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How do you know that one of the sides of a right triangle is the hypotenuse?
Wiki User
∙ 13y ago
It is opposite the right angle and it is the longest side.
Wiki User
∙ 13y ago
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How do you know if a triangle is a right triangle using the pythagorean therom?
We know that a right triangle is a triangle having a right angle, where the side opposite the right angle is the hypotenuse, and the perpendicular sides are the legs of the right triangle. The Pythagorean theorem gives the relationship between the lengths of the sides of a right triangles. In the case where you know only the measure lengths of the sides of a triangle, you need to test these measures. If one of the sides of the triangle has a square measure equal to the sum of the square measures of two other sides, then this side is called the hypotenuse and opposite to this side is a 90 degree angle, which is a right angle. So, you can say that this triangle is a right triangle. Pythagorean triple are very helpful to determine a right triangle, such as: (3, 4, 5), (5,12,13), (8, 15, 17), (7, 24, 25), and (20, 21, 29).
When and how to use the Pythagorean theorem?
Definition:Pythagorean theorem (also known as Pythagoras' theorem) is a mathematical statement about the relation among the three sides of a right triangle (right-angled triangle).It states:"In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides."In any right-angled triangle, if the sides forming the right-angle are known as a and b and the hypotenuse as c, then the relation among the three sides of a right triangle is given by this equation: a2 + b2 = c2.When to use it:If the length of two sides of a right angled triangle are already known, you can find the unknown length of the third side.How to use it:As you know the relation among the three sides of a right triangle is represented by the equation a2 + b2 = c2 , substitute the known values in the equation and find out the length of the third side by solving the equation.See the related link.
Which is the result derived from the pythagorean theorem?
The Pythagorean Theorem, states, that 'for any right angled triangle the hypotenuse squared is equal to the squares of the other two sides'. Algebraically expressed as h^2 = S^2 + s^2 Where 'H' is the hypotenuse, and 'S' and 's' are the other two sides. The classic example is the 3,4,5 triangle. 5^2 = 4^2 + 3^2 25 = 16 + 9 25 = 25
What if using pythagorean theorem find the leg of a triangle with a hypotenuse of twelve and side length of fifteen?
The hypotenuse is 15, because in a right triangle the biggest side of it is the hypotenuse. hypotenuse^2 = side^2 + side^2 substitute what you know into the formula; 15^2 = 12^2 + side^2 subtract 12^2 to both sides; 15^2 - 12^2 = side^2 81 = side^2 square both sides and ignore the negative value because the length is positive; 9 = side Thus, the other leg is 9.
Does 8 10 12 make a right triangle?
no the way to find out the answer is to use Pythagorean theorem (a2 + b2 = c2) a is one of the sides touching the right angle, b is the other side touching it and c is the hypotenuse ( the side that's not touching the right angle). the biggist side in a right triangle will always be the hypotenuse. you can plug in 12 to c because we know it's the biggest. the other two sides become a and b. this equation only works on right triangles so when we plug everything in, if they don't equal each other than it's not a right triangle. otherwise it is. a2 + b2 = c2 , 82 + 102 = 122 , 64 + 100 = 144 , 164 = 144. these numbers don't equal each other so these sides don't make a right triangle.
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.
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 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
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.
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 calculate the length of the opposite and adjacent sides in a right angle triangle if you know the length of the hypotenuse and the angle between the adjacent and hypotenuse?
the sides can be found out by using trignometry.. sines and cosines.. sine of an agle is perpendicular/hypotenuse cosine of an angle is base/hypotenuse..
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 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.
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 know if a triangle is a right triangle using the pythagorean therom?
We know that a right triangle is a triangle having a right angle, where the side opposite the right angle is the hypotenuse, and the perpendicular sides are the legs of the right triangle. The Pythagorean theorem gives the relationship between the lengths of the sides of a right triangles. In the case where you know only the measure lengths of the sides of a triangle, you need to test these measures. If one of the sides of the triangle has a square measure equal to the sum of the square measures of two other sides, then this side is called the hypotenuse and opposite to this side is a 90 degree angle, which is a right angle. So, you can say that this triangle is a right triangle. Pythagorean triple are very helpful to determine a right triangle, such as: (3, 4, 5), (5,12,13), (8, 15, 17), (7, 24, 25), and (20, 21, 29).
How do you find an angle of a right angled triangle if you know 2 sides?
You use the Pythagorean theorem, which can only be applied to right triangles: a2+b2=c2, where a and b are the triangle's legs and c is the triangle's hypotenuse. Plug the two sides you know into the equation, then solve for the unknown side.
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!
