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False because in any right angle triangle Pythagoras' theorem states that a^2 +b^2 = c^2 whereas 'a' and 'b' being the legs of the triangle with 'c' as its hypotenuse

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โˆ™ 2018-03-08 15:12:52
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โˆ™ 2018-03-08 16:02:16

In any 45-45-90 triangle the length of the hypotenuse is the square root of 2 (~1.4142) times the length of a leg.

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Q: In any 45-45-90 triangle the length of the hypotenuse is times the length of a leg.?
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How do you calculate the hypotenuse of an isosceles right triangle?

An isosceles right triangle will always have its shorter sides of the same length, and the hypotenuse will always be this length times sin(45o) or times the square root of 0.5.


In an isosceles right triangle the hypotenuse is radical three and if the hypotenuse is 12 then what is the smaller leg of that triangle?

If the hypotenuse is the square root of three, then the legs are (root 6)/2. If the hypotenuse is 12, then the legs are 6(root 2). This is because, for any given right isosceles triangle, the length of the hypotenuse x is root two times the length of the legs.


In an isoceles triangle what is the length of the hypotenuse if 2 legs are 30?

If it is a right angle isosceles triangle then by using Pythagoras' theorem its hypotenuse is 30 times the square root of 2


What is the square of the hypotenuse?

The square of the hypotenuse is equal to the length of the hypotenuse times itself. This is also equal to the sum of the squares of the other two sides in a right triangle.


What do you know in a 45-45-90 triangle?

In a 45-45-90 triangle, both legs are congruent and the length of the hypotenuse is square root of 2 times the length of the leg.


How does an isosceles triangle that is also a right triangle look like?

That's called a 45° right triangle. The length of the hypotenuse is equal to the length of each of the other two sides times the square root of two.


Approximate to the nearest thousandth of a centimeter the length of the hypotenuse of a right triangle with legs of 3 centimeters each?

If both legs of a right triangle are the same, then it forms what is known as a "45-45-90 triangle". In this type of triangle, the hypotenuse is always √2 times more than the legs. So in this problem, with legs 3cm and 3cm, the hypotenuse is 3√2cm, or 4.243cm


He length of the longer leg of a right triangle is 3ft more than three times the length of the shorter leg. The length of the hypotenuse is 4ft more than three times the length of the shorter leg. Fin?

The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.


What geomatric shape is associated with root 2?

The length of a hypotenuse of a right triangle with equal legs is equal to the length of the leg times the square root of 2.


What type of triangle has two equal sides and a right angle?

An Isosceles right triangle. If the length of either of the two sides is N then the hypotenuse is N times the square root of 2. an isosceles right triangle can not be an equilateral triangle since the hypotenuse can not be the same size as the other two sides..


What is the length of the hypotenuse of a right triangle that has legs wit lengths of 5 and 4?

i believe eight its the shortest line times two


What is the length of the hypotenuse of a right triangle where the two sides are 15cm and 15cm long?

Using Pythagoras' theorem: 15 times the square root of 2 cm in length


What is the leg length of an isosceles right triangle with a hypotenuse of 32 inches?

Each leg length is 16 times square root of 2 or about 22,627 inches to 3 decimal places


A 30-60-90 triangle has its longer leg of length 7.8 what is the length of the shorter of the two legs?

The shorter leg is 1/2 of the hypotenuse, while the longer leg is (sin60°) times the hypotenuse or about 0.866 times as long. (7.8/0.866) gives the hypotenuse as 9.0 and 9.0/2 = about 4.5 unitsor use the tangent ratio:7.8/tan 60° = 4.5033321 or about 4.5 in length


What is length of hypotenuse if 2 legs are 30 inches?

If it is a right angle triangle then using Pythagoras; theorem its hypotenuse is 30 times the square root of 2 in inches which is about 42.426 inches rounded to 3 decimal places.


How can one determine what the length of the hypotenuse is?

The "hypotenuse" firstly is the longest side of a triangle. This is where the perpendicular sides are joined together by a longer diagonal side. Now, to work out what the length of an hypotenuse, it is essential to know what "Pythagoras Theorem". This is the equation that A squared plus B squared equals C squared where A and B are any side on the triangle other than the hypotenuse and C is the hypotenuse. To square a number, you just have to times it by itself, so if we square 10, it would be 10X10 which is a hundred. After you square A and B, you simply add them both together.


What is the length of the hypotenuse of a right triangle with legs of lengths 9 and 12?

The hypotenuse is 15. The Pythagorean Theorum states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides; in other words, if c is the length of the hypotenuse, and a and b are the lengths of the other two sides:a2 + b2 = c2In this case, a = 9 (a2 = 81) and b = 12 (b2 = 144), and a2 + b2 = 81 + 144 = 225. But we know that this is also equal to c2. If c2 = 225, then c = √225 = 15.Also, just a little thought reveals that this triangle is a "3-4-5" triangle. For any right triangle with non-hypotenuse sides of length 3 and 4 units, the hypotenuse will be 5 units in length. Because units are arbitrary, this relationship extends to multiple of 3, 4, and 5. 9 and 12 are 3 times 3 and 4. So the hypotenuse is 3 times 5, or 15.


If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters what is the length of the hypotenuse in centimeters?

Using Pythagoras' theorem the hypotenuse is 3 times square root of 5 which is about 6.708 cm rounded to 3 decimal places


Can you find the length of the hypotenuse of a right angled triangle with an area of XXIIII square inches and a height of VIII inches giving details of your work?

First find the length of the base: base = area times 2 divided by height base = 24 times 2 divided by 8 = 6 inches Then use Pythagoras' Theorem to find length of the hypotenuse: base2 + height2 = hypotenuse2 62 + 82 = 100 square inches. Square root of 100 = 10 inches. Therefore the length of the hypotenuse is X inches.


What is the relationship between the length of the legs of a 30-60-90 triangle?

-- The side opposite the 90° angle, known as the hypotenuse, is the longest of the three sides. The other two sides are called the "legs". -- The length of the leg opposite the 30° angle is 1/2 of the hypotenuse. -- The length of the leg opposite the 60° angle is 1/2 of the hypotenuse times sqrt(3). -- The sum of the squares of the lengths of the legs is the square of the length of the hypotenuse.


If you have a 45-45-90 triangle with a hypotenuse of 16 root 2 how do you find the other sides?

The other sides are both 16. This is because in a 45-45-90 triangle the legs are congruent because of the isosceles triangle theorem, and also the hypotenuse of the triangle is equal to the leg times root 2. That is because of the 45-45-90 triangle theorem. So in a summary the legs are congruent and the hypotenuse is equal to the leg times root 2.


If a right triangle has a hypotenuse of 12 cm and one leg that measures 9 cm find the length of the other leg.?

Using Pythagoras' theorem for a right angle triangle the other leg is 3 times the square root of 7


What is the length of the hypotenuse of a 45-45-90 degree triangle when the legs measure 26 millimeters?

It is: 26 times square root 2 mm or about 36.769 to 3 decimal places


What is the hypotenuse when the legs are 20 and 14?

If its a right angle triangle then the hypotenuse using Pythagoras 2 times the square root of 149


How do you find sides of right triangle given only the hypotenuse and all angles?

One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).