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# How do you find the hypotenuse of a non right triangle?

Updated: 4/28/2022

Wiki User

14y ago

By definition, the hypotenuse is the side opposite the right angle in a right angled triangle.

Therefore, a hypotenuse does not exist as one of the three sides in a non-right angled triangle.

Wiki User

14y ago

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Q: How do you find the hypotenuse of a non right triangle?
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### What's the equation to find the length of a hypotenuse of a triangle?

The basic equation for the hypotenuse of a right angled triangle is A squared plus B squared equals C squared. Where A and B are the two non hypotenuse sides and C is the hypotenuse. To find other lengths and angles of a triangle various functions in the branch of mathematics known as trigonometry is used.

### Can you show how a right triangle has one line of symmetry?

the only way for a right triangle to have a line of symmetry, is if the legs of the triangle are congruent. Or you can show that both non-right angles are congruent (45 degrees). you may also prove that the altitude of the triangle bisects the hypotenuse or that it equals 1/2 of the hypotenuse.

### Does the cosine rario work with non- right triangles?

The cosine of an angle is the ratio of the adjacent side to the hypotenuse only when the angle is in a right triangle. (Otherwise, how would you know which side is the "hypotenuse" ?)

### Longest side of a triangle is called?

In a right triangle (a triangle where one of the angles is exactly 90 degrees) , the longest side is called the hypotenuse. In non-right triangles, the longest side has no special name.

### How do you determine that an isosceles triangle is an isosceles right triangle?

If the non-right angles are 45 degrees each. or If the sides adjacent to the right angle are equal. There are other properties that may be used instead. For example, the perpendicualr bisector of the hypotenuse bisects the right angle of the triangle.

### How do you find the height of an isosceles triangle when given only the three side lengths?

Make it a right triangle where one side of the right triangle is half the length of the non-identical side of the isosceles, the hypotenuse of the right triangle is the length of one of the identical sides of the isosceles triangle, then use the Pythagorean theorem. a^2+b^2=c^2. Where "a" is the length of one of the identical sides, and "c" is the length of half the non-identical sides. Solve for "b" and that is your height.

### What is hypotenuse of a isosceles triangle?

The hypotenuse is the longest line in a right angle triangle, or the line opposite the 90 degree angle. So a hypotenuse only exists for right angled isosceles triangles. The hypotenuse is calculated by taking the square root of the sum of the squares of the other two sides. So for example, if the one of the other sides is 1 then the hypotenuse is 2; Becuase 1 squared is 2, and as this is a right angled isosceles the other non-hypotenuse side will be the same length, so 2+2=4, then you take the square root of the sum and you get 2.

### What ratio correctly describes the sine function?

In a right triangle, the sine of an (non right angle) angle would the ratio of the opposite side (opposite to the angle selected) and the hypotenuse

### How do you find the height of a fight triangle when the hypotenuse is 9?

I guess you meant a right triangle with a hypotenuse of 9 units.Long answer:If the hypotenuse is used as the base of the triangle, the height will be any value greater than 0 units and less than or equal to 41/2 units.If one of the other two sides is used as the base, then the height will be any value greater than 0 units and less than 9 units such that height = &radic;(81 - base2).Short answer:You can't without further information about one of the other two sides.Short answer expanded:Then you can use Pythagoras to find the third side.If one if the non-hypotenuse sides is the base, then the height is the other side.Otherwise with the hypotenuse as the base, the height is given by:height = product_of_the_other_two_sides &divide; hypotenuse

### How do you determine which is the adjacent side of a right triangle?

There are three sides, hypotenuse, opposite and adjacent. But the adjacent and opposite are not fixed sides: it depends on which of the two acute angles you are examining.For either of the non-right angles, the adjacent side is the one which forms the angle, along with the hypotenuse. For the given angle &theta;, the length of the adjacent side compared to the hypotenuse (adjacent/hypotenuse) is the cosine (cos &theta;).

### How was sine cosine and tangent created?

They are all ratios for triangles found by dividing one side of a triangle by the others. Ex: sine=opposite side/hypotenuse. *** This is so for a right-angled triangle. Non-right-angle triangle dimensions can be calculated by trigonometry but require more complicated derived formulae.

### How do you find the hypotenuse of a right triangle?

It is the longest side, directly across from the right angle. You can calculate it knowing a side and an angle (which gives you both non-right angles) or more typically by using the Pythagorean Theorem, which gives the formulaa2 + b2 = c2 where a and b are the sides and c the hypotenuse.Example : A right triangle with sides adjacent to the right angle of 3 and 4 has a hypotenuse length of 5, because 32 + 42 = 52.To Find The Hypotenuse LengthGiven the lengths of the other two sides, a and b, square each of them, add them together, and take the square root of the result.Example : a right triangle with the two sides of length 9 and 12.(9)2 + (12)2 = c2 (c is the hypotenuse length)81 + 144 = c2 therefore 225 = c2 and c = 15, the hypotenuseUsually you would use Pythagoras' Theorem: a2 + b2 = c2, where c is the hypothenuse.